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Journal articles on the topic 'Horndeski action'

Author: Grafiati

Published: 14 March 2023

Last updated: 31 July 2025

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1

Mironov, S., and V. Volkova. "Properties of perturbations in beyond Horndeski theories." International Journal of Modern Physics A 33, no. 27 (2018): 1850155. http://dx.doi.org/10.1142/s0217751x18501555.

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We study whether the approach of Deffayet et al. (DPSV) can be adopted for obtaining a derivative part of quadratic action for scalar perturbations in beyond Horndeski theories about homogeneous and isotropic backgrounds. We find that even though the method does remove the second and higher derivatives of metric perturbations from the linearized Galileon equation, in the same manner as in the general Horndeski theory, it gives incorrect result for the quadratic action. We analyze the reasons behind this property and suggest the way of modifying the approach, so that it gives valid results.

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2

Volkova, Victoria. "On perturbations in Horndeski theories." EPJ Web of Conferences 182 (2018): 02127. http://dx.doi.org/10.1051/epjconf/201818202127.

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This research has been carried out in collaboration with R. Kolevatov, S. Mironov, V. Rubakov and N. Sukhov. We study the approach suggested by Deffayet et al. for obtaining a derivative part of the quadratic action for scalar perturbations in the cubic Horndeski theory. We analyse the validity of the approach and generalize it for the complete Horndeski theory. We explicitly check that the generalized method gives the correct result.

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Mironov, S., and M. Valencia-Villegas. "Healthy Horndeski cosmologies with torsion." Journal of Cosmology and Astroparticle Physics 2024, no. 07 (2024): 030. http://dx.doi.org/10.1088/1475-7516/2024/07/030.

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Abstract We show that the full Horndeski theory with both curvature and torsion can support nonsingular, stable and subluminal cosmological solutions at all times. Thus, with torsion, the usual No-Go theorem that holds in a curved spacetime is avoided. In particular, it is essential to include the nonminimal derivative couplings of the ℒ5 part of the Horndeski action (Gμν ∇ μ ∇ νϕ, and (∇2 ϕ)3). Without the latter a No-Go already impedes the eternal subluminality of nonsingular, stable cosmologies.

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Helpin, Thomas, and Mikhail S. Volkov. "A metric-affine version of the Horndeski theory." International Journal of Modern Physics A 35, no. 02n03 (2020): 2040010. http://dx.doi.org/10.1142/s0217751x20400102.

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We study the metric-affine versions of scalar-tensor theories whose connection enters the action only algebraically. We show that the connection can be integrated out, resulting in an equivalent metric theory. Specifically, we consider the metric-affine generalisations of the subset of the Horndeski theory whose action is linear in second derivatives of the scalar field. We determine the connection and find that it can describe a scalar-tensor Weyl geometry without a Riemannian frame. Still, as this connection enters the action algebraically, the theory admits the dynamically equivalent (pseud

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Hohmann, Manuel. "Disformal Transformations in Scalar–Torsion Gravity." Universe 5, no. 7 (2019): 167. http://dx.doi.org/10.3390/universe5070167.

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We study disformal transformations in the context of scalar extensions to teleparallel gravity, in which the gravitational interaction is mediated by the torsion of a flat, metric compatible connection. We find a generic class of scalar–torsion actions which is invariant under disformal transformations, and which possesses different invariant subclasses. For the most simple of these subclasses we explicitly derive all terms that may appear in the action. We propose to study actions from this class as possible teleparallel analogues of healthy beyond Horndeski theories.

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Bernardo, Reginald Christian, Jackson Levi Said, Maria Caruana, and Stephen Appleby. "Well-tempered Minkowski solutions in teleparallel Horndeski theory." Classical and Quantum Gravity 39, no. 1 (2021): 015013. http://dx.doi.org/10.1088/1361-6382/ac36e4.

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Abstract Well-tempering stands among the few classical methods of screening vacuum energy to deliver a late-time, low energy vacuum state. We build on the class of Horndeski models that admit a Minkowski vacuum state despite the presence of an arbitrarily large vacuum energy to obtain a much larger family of models in teleparallel Horndeski theory. We set up the routine for obtaining these models and present a variety of cases, all of which are able to screen a natural particle physics scale vacuum energy using degeneracy in the field equations. We establish that well-tempering is the unique m

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Vázquez-Báez, V., and C. Ramírez. "Quantum Cosmology of Quadratic f(R) Theories with a FRW Metric." Advances in Mathematical Physics 2017 (2017): 1–5. http://dx.doi.org/10.1155/2017/1056514.

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We study the quantum cosmology of a quadratic fR theory with a FRW metric, via one of its equivalent Horndeski type actions, where the dynamic of the scalar field is induced. The classical equations of motion and the Wheeler-DeWitt equation, in their exact versions, are solved numerically. There is a free parameter in the action from which two cases follow: inflation + exit and inflation alone. The numerical solution of the Wheeler-DeWitt equation depends strongly on the boundary conditions, which can be chosen so that the resulting wave function of the universe is normalizable and consistent

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8

Ahmedov, Bobomurat, Konstantinos F. Dialektopoulos, Jackson Levi Said, Abdurakhmon Nosirov, Zinovia Oikonomopoulou, and Odil Yunusov. "Cosmological perturbations in the teleparallel analog of Horndeski gravity." Journal of Cosmology and Astroparticle Physics 2023, no. 08 (2023): 074. http://dx.doi.org/10.1088/1475-7516/2023/08/074.

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Abstract In this work we study the cosmological perturbations in Bahamonde-Dialektopoulos-Levi Said (BDLS) theory, i.e. the teleparallel analog of Horndeski gravity. In order to understand the evolution of structure in a cosmological model, it is necessary to study its cosmology not only in the background but also perturbatively. Both Horndeski and its teleparallel analog have been analyzed a lot in the literature, but in order to study them quantitatively, we need to know their cosmological perturbations. That is why, we study here the scalar-vector-tensor decomposition of the theory and we a

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9

Chen, Che-Yu, Antonio De Felice, and Shinji Tsujikawa. "Linear stability of vector Horndeski black holes." Journal of Cosmology and Astroparticle Physics 2024, no. 07 (2024): 022. http://dx.doi.org/10.1088/1475-7516/2024/07/022.

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Abstract Horndeski's vector-tensor (HVT) gravity is described by a Lagrangian in which the field strength fμν = ∂μAν-∂νAμ of a vector field Aμ interacts with a double dual Riemann tensor Lμναβ in the form βLμναβ Fμν Fαβ , where β is a constant. In Einstein-Maxwell-HVT theory, there are static and spherically symmetric black hole (BH) solutions with electric or magnetic charges, whose metric components are modified from those in the Reissner-Nordström geometry. The electric-magnetic duality of solutions is broken even at the background level by the nonvanishing coupling constant β. We compute a

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10

Pardede, Kevin F. S., Agus Suroso, and Freddy P. Zen. "Nonlinear matter terms in general scalar–tensor braneworld cosmology." International Journal of Modern Physics D 28, no. 11 (2019): 1950138. http://dx.doi.org/10.1142/s0218271819501384.

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A five-dimensional braneworld cosmological model in general scalar–tensor action that is comprised of various Horndeski Lagrangians is considered. The Friedmann equations in the case of strongly and weakly coupled [Formula: see text] Horndeski Lagrangians have been obtained. The strongly coupled [Formula: see text] model produces the Cardassian term [Formula: see text] with [Formula: see text], which can serve as an alternative explanation for the accelerated expansion phase of the universe. Furthermore, the latest combined observational facts from BAO, CMB, SNIa, [Formula: see text] and [Form

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11

van de Bruck, Carsten, and Chris Longden. "Einstein-Gauss-Bonnet Gravity with Extra Dimensions." Galaxies 7, no. 1 (2019): 39. http://dx.doi.org/10.3390/galaxies7010039.

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We consider a theory of modified gravity possessing d extra spatial dimensions with a maximally symmetric metric and a scale factor, whose ( 4 + d ) -dimensional gravitational action contains terms proportional to quadratic curvature scalars. Constructing the 4D effective field theory by dimensional reduction, we find that a special case of our action where the additional terms appear in the well-known Gauss-Bonnet combination is of special interest as it uniquely produces a Horndeski scalar-tensor theory in the 4D effective action. We further consider the possibility of achieving stabilised e

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Gleyzes, Jérôme, David Langlois, and Filippo Vernizzi. "A unifying description of dark energy." International Journal of Modern Physics D 23, no. 13 (2014): 1443010. http://dx.doi.org/10.1142/s021827181443010x.

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We review and extend a novel approach that we recently introduced, to describe general dark energy or scalar-tensor models. Our approach relies on an Arnowitt-Deser-Misner (ADM) formulation based on the hypersurfaces where the underlying scalar field is uniform. The advantage of this approach is that it can describe in the same language and in a minimal way a vast number of existing models, such as quintessence, F(R) theories, scalar tensor theories, their Horndeski extensions and beyond. It also naturally includes Horava–Lifshitz theories. As summarized in this review, our approach provides a

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13

Sebastiani, Lorenzo. "Static spherically symmetric solutions in a subclass of Horndeski theories of gravity." International Journal of Geometric Methods in Modern Physics 15, no. 09 (2018): 1850152. http://dx.doi.org/10.1142/s0219887818501529.

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In this paper, we will consider a subclass of models of Horndeski theories of gravity and we will check for several Static Spherically Symmetric solutions. We will find a model which admits an exact black hole (BH) solution and we will study its thermodynamics by using the Euclidean Action. We will see that, in analogy with the case of General Relativity (GR), the integration constant of the solution can be identified with the mass of the BH itself. Other solutions will be discussed, by posing special attention on the possibility of reproducing the observed profiles of the rotation curves of g

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14

Fang, Qiong, Songbai Chen, and Jiliang Jing. "Dynamical evolution of electromagnetic perturbation in the background of a scalar hairy black hole in Horndeski theory." International Journal of Modern Physics D 28, no. 09 (2019): 1950112. http://dx.doi.org/10.1142/s0218271819501128.

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We have investigated dynamical evolution of electromagnetic perturbation in a scalar hairy black hole spacetime, which belongs to solutions in Horndeski theory with a logarithmic cubic term. Our results show that the parameter [Formula: see text] affects the existence of event horizon and modifies the asymptotical structure of spacetime at spatial infinity, which imprints on the quasinormal frequency of electromagnetic perturbation. Moreover, we find that the late-time tail of electromagnetic perturbation in this background depends also on the parameter [Formula: see text] due to the existence

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15

Kase, Ryotaro, and Shinji Tsujikawa. "Effective field theory approach to modified gravity including Horndeski theory and Hořava–Lifshitz gravity." International Journal of Modern Physics D 23, no. 13 (2014): 1443008. http://dx.doi.org/10.1142/s0218271814430081.

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In this paper, we review the effective field theory of modified gravity in which the Lagrangian involves three-dimensional geometric quantities appearing in the 3+1 decomposition of spacetime. On the flat isotropic cosmological background, we expand a general action up to second-order in the perturbations of geometric scalars, by taking into account spatial derivatives higher than two. Our analysis covers a wide range of gravitational theories — including Horndeski theory/its recent generalizations and the projectable/nonprojectable versions of Hořava–Lifshitz gravity. We derive the equations

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16

Domènech, Guillem, Atsushi Naruko, Misao Sasaki, and Christof Wetterich. "Could the black hole singularity be a field singularity?" International Journal of Modern Physics D 29, no. 03 (2020): 2050026. http://dx.doi.org/10.1142/s0218271820500261.

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In the wake of interest to find black hole solutions with scalar hair, we investigate the effects of disformal transformations on static spherically symmetric spacetimes with a nontrivial scalar field. In particular, we study solutions that have a singularity in a given frame, while the action is regular. We ask if there exists a different choice of field variables such that the geometry and the fields are regular. We find that in some cases disformal transformations can remove a singularity from the geometry or introduce a new horizon. This is possible since the Weyl tensor is not invariant u

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17

Blanco, Daniel Sobral, and Lucas Lombriser. "Exploring the self-tuning of the cosmological constant from Planck mass variation." Classical and Quantum Gravity 38, no. 23 (2021): 235003. http://dx.doi.org/10.1088/1361-6382/ac3148.

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Abstract Recently, the variation of the Planck mass in the general relativistic Einstein–Hilbert action was proposed as a self-tuning mechanism of the cosmological constant, preventing standard model vacuum energy from freely gravitating and enabling an estimation of the magnitude of its observed value. We explore here new aspects of this proposal. We first develop an equivalent Einstein-frame formalism to the current Jordan-frame formulation of the mechanism and use this to highlight similarities and differences of self-tuning to the sequestering mechanism. We then show how with an extension

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18

Terente Díaz, José Jaime, Konstantinos Dimopoulos, Mindaugas Karčiauskas, and Antonio Racioppi. "Quintessence in the Weyl-Gauss-Bonnet model." Journal of Cosmology and Astroparticle Physics 2024, no. 02 (2024): 040. http://dx.doi.org/10.1088/1475-7516/2024/02/040.

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Abstract Quintessence models have been widely examined in the context of scalar-Gauss-Bonnet gravity, a subclass of Horndeski's theory, and were proposed as viable candidates for Dark Energy. However, the relatively recent observational constraints on the speed of gravitational waves c GW have resulted in many of those models being ruled out because they predict c GW ≠ c generally. While these were formulated in the metric formalism of gravity, we put forward a new quintessence model with the scalar-Gauss-Bonnet action but in Weyl geometry, where the connection is not metric compatible. We fin

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19

Alinea, Allan L., and Joshwa DJ Ordoñez. "On the KG-constrained Bekenstein’s disformal transformation of the Einstein–Hilbert action." Modern Physics Letters A, March 21, 2025. https://doi.org/10.1142/s021773232550021x.

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Motivated by an inclination for symmetry and possible extension of the General Theory of Relativity within the framework of Scalar Theory, we investigate the Bekenstein’s disformal transformation of the Einstein–Hilbert action. Owing to the complicated combinations of second-order metric derivatives encoded in the Ricci scalar of the action, such a transformation yields an unwieldy expression. To “tame” the transformed action, we exploit the Klein–Gordon (KG) conformal–disformal constraint previously discovered in the study of the invariance of the massless KG equation under disformal transfor

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20

Naruko, Atsushi, Ryo Saito, Norihiro Tanahashi, and Daisuke Yamauchi. "Ostrogradsky mode in scalar-tensor theories with higher-order derivative couplings to matter." Progress of Theoretical and Experimental Physics, April 13, 2023. http://dx.doi.org/10.1093/ptep/ptad049.

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Abstract A metric transformation is a tool to find a new theory of gravity beyond general relativity. The gravity action is guaranteed to be free from a dangerous Ostrogradsky mode as long as the metric transformation is regular and invertible. Various degenerate higher-order scalar-tensor theories (DHOST) without extra degrees of freedom have been found through the metric transformation with a scalar field and its derivatives. In this work, we examine how a matter coupling changes the degeneracy for a theory generated from the Horndeski theory through the metric transformation with the second

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21

Cáceres, Nicolás, Cristóbal Corral, Felipe Díaz, and Rodrigo Olea. "Holographic renormalization of Horndeski gravity." Journal of High Energy Physics 2024, no. 5 (2024). http://dx.doi.org/10.1007/jhep05(2024)125.

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Abstract We study the renormalization of a particular sector of Horndeski theory. In particular, we focus on the nonminimal coupling of a scalar field to the Gauss-Bonnet term and its kinetic coupling to the Einstein tensor. Adopting a power expansion on the scalar function that couples the Gauss-Bonnet term, we find specific conditions on their coefficients such that the action and charges are finite. To accomplish the latter, we add a finite set of intrinsic boundary terms. The contribution of the nonminimal coupling generates an effective scalar mass, allowing us to recover a modified Breit

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22

Mironov, S., and M. Sharov. "No-Go theorem in the cubic subclass of Horndeski theory for spherically symmetric dynamical background." Physical Review D 111, no. 8 (2025). https://doi.org/10.1103/physrevd.111.084033.

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We consider a general dynamical, spherically symmetric background in the cubic subclass of Horndeski theory and obtain the quadratic action for the perturbations. We analyze the stability conditions for high-energy modes and study the issue of the no-go theorem. We formulate the no-go theorem for weak dependence on one variable (time or radial) and derive its generalization to the cases which could be reduced by coordinate transformation to scenarios where the scalar field has weak dependence on one of the coordinates. Moreover, we show that a wide class of singular solutions is also prohibite

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23

Santos, Fabiano F., Moisés Bravo‐Gaete, Oleksii Sokoliuk, and Alexander Baransky. "AdS/BCFT Correspondence and Horndeski Gravity in the Presence of Gauge Fields: Holographic Paramagnetism/Ferromagnetism Phase Transition." Fortschritte der Physik, September 14, 2023. http://dx.doi.org/10.1002/prop.202300008.

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AbstractThis paper presents a dual gravity model for a (2+1)‐dimensional system with a limit on finite charge density and temperature, which will be used to study the properties of the holographic phase transition to paramagnetism‐ferromagnetism in the presence of Horndeski gravity terms. In our model, the non‐zero charge density is supported by a magnetic field. As a result, the radius indicates a localized condensate, as the Horndeski gravity parameter is increased, that is represented by γ. Furthermore, such condensate shows quantum Hall‐type behavior. This radius is also inversely related

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Avilés, L., J. Díaz, D. M. Peñafiel, V. C. Orozco, and P. Salgado. "Einstein gravity with generalized cosmological term from five-dimensional AdS-Maxwell-Chern-Simons gravity." Journal of High Energy Physics 2024, no. 5 (2024). http://dx.doi.org/10.1007/jhep05(2024)160.

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Abstract Some time ago, the standard geometric framework of Einstein gravity was extended by gauging the Maxwell algebra as well as the so called AdS-Maxwell algebra. In this paper it is shown that the actions for these four-dimensional extended Einstein gravities can be obtained from the five-dimensional Chern-Simons gravities actions by using the Randall-Sundrum compactification procedure. It is found that the Inönü-Wigner contraction procedure, in the Weimar-Woods sense, can be used both to obtain the Maxwell-Chern-Simons action from the AdS-Maxwell-Chern-Simons action and to obtain the Max

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25

Ageeva, Yulia, Pavel Petrov, and Valery Rubakov. "Horndeski genesis: consistency of classical theory." Journal of High Energy Physics 2020, no. 12 (2020). http://dx.doi.org/10.1007/jhep12(2020)107.

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Abstract Genesis within the Horndeski theory is one of possible scenarios for the start of the Universe. In this model, the absence of instabilities is obtained at the expense of the property that coefficients, serving as effective Planck masses, vanish in the asymptotics t → −∞, which signalizes the danger of strong coupling and inconsistency of the classical treatment. We investigate this problem in a specific model and extend the analysis of cubic action for perturbations (arXiv:2003.01202) to arbitrary order. Our study is based on power counting and dimensional analysis of the higher order

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26

Yang, Zhen-Hao, Yun-He Lei, Xiao-Mei Kuang, and Bin Wang. "Gravitational odd-parity perturbation of a Horndeski hairy black hole: quasinormal mode and parameter constraint." European Physical Journal C 85, no. 1 (2025). https://doi.org/10.1140/epjc/s10052-025-13813-x.

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Abstract During the binary black hole coalescence, gravitational waves emitted at the ringdown stage can be well described by black hole perturbation theory, where the quasinormal modes (QNMs) become the important ingredient in modeling the pattern waveform. In general relativity (GR), the QNMs can be obtained from solving the Regge–Wheeler (RW) equation of a non-rotating black hole. While in Horndeski gravity, the isospectrality between the odd and even parity perturbations is broken due to the scalar field, the odd perturbation equation can be simplified into a modified RW equation from the

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Dialektopoulos, Konstantinos F., Jackson Levi Said, and Zinovia Oikonomopoulou. "Classification of teleparallel Horndeski cosmology via Noether symmetries." European Physical Journal C 82, no. 3 (2022). http://dx.doi.org/10.1140/epjc/s10052-022-10201-7.

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AbstractTeleparallel Horndeski theory offers an avenue through which to circumvent the speed constraint of gravitational waves in an efficient manner. However, this provides an even larger plethora of models due to the increase in action terms. In this work we explore these models in the context of cosmological systems. Using Noether point symmetries, we classify the dynamical systems that emerge from teleparallel Horndeski cosmologies. This approach is very effective at selecting specific models in the general class of second-order teleparallel scalar–tensor theories, as well as for deriving

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Mironov, S., A. Shtennikova, and M. Valencia-Villegas. "Higher derivative scalar-vector-tensor theories from Kaluza-Klein reductions of Horndeski theory." Physical Review D 111, no. 2 (2025). https://doi.org/10.1103/physrevd.111.024028.

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It was recently pointed out that some precise photon-Galileon couplings in four dimensions (4D)—inspired by a higher dimensional reduction—are enough to obtain a Horndeski theory that is less constrained by the stringent experimental bounds on the speed of gravitational waves. They imply the constancy of the ratio of speed of gravity to light throughout cosmic evolution. This holds even if we include the general scalar potentials G4(π,X) and G5(π). In this paper we go into the details of this 4D luminal extension of Horndeski theory including its scalar sector. We also present the complete act

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Koyama, Kazuya, Gustavo Niz, and Gianmassimo Tasinato. "Effective theory for the Vainshtein mechanism from the Horndeski action." Physical Review D 88, no. 2 (2013). http://dx.doi.org/10.1103/physrevd.88.021502.

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Li, Mu-Jing, Chong-Ye Chen, Chao Niu, Cheng-Yong Zhang, and Peng Liu. "Mixed-state entanglement and transport in Einstein–Maxwell–Axion–Horndeski theory." European Physical Journal C 84, no. 2 (2024). http://dx.doi.org/10.1140/epjc/s10052-024-12521-2.

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AbstractWe present a comprehensive study exploring the relationship between transport properties and measures of quantum entanglement in the Einstein–Maxwell–Axion–Horndeski theory. By using holographic duality, we study the entanglement measures, holographic entanglement entropy (HEE) and entanglement wedge cross-section (EWCS), and transport coefficients, for this model and analyze their dependence on free parameters which we classify into action parameters, observable parameters and axion factor. We find contrasting behaviors between HEE and EWCS with respect to observable parameters (charg

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Dong, Yu-Qi, Yu-Qiang Liu, and Yu-Xiao Liu. "Constraining Palatini–Horndeski theory with gravitational waves after GW170817." European Physical Journal C 83, no. 8 (2023). http://dx.doi.org/10.1140/epjc/s10052-023-11861-9.

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AbstractIn this paper, we investigate the possible parameter space of Palatini–Horndeski theory with gravitational waves in a spatially flat Universe. We develop a general method for obtaining the speed of gravitational waves in the Palatini formalism in the cosmological background and we find that if the theory satisfies the following condition: in any spatially flat cosmological background, the tensor gravitational wave speed is the speed of light c, then only $$S = \int d^4x \sqrt{-g} \big [K(\phi ,X)-G_{3}(\phi ,X){{\tilde{\Box }}}\phi +G_{4}(\phi ){\tilde{R}}\big ]$$ S = ∫ d 4 x - g [ K (

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Bettoni, Dario, and Stefano Liberati. "Disformal invariance of second order scalar-tensor theories: Framing the Horndeski action." Physical Review D 88, no. 8 (2013). http://dx.doi.org/10.1103/physrevd.88.084020.

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"The Disformal Transformation of the Einstein-Hilbert Action." Jordan Journal of Physics 16, no. 5 (2023): 507–15. http://dx.doi.org/10.47011/16.5.2.

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Abstract: A disformal transformation is a generalization of the well-known conformal transformation commonly elaborated in mainstream graduate texts on general relativity. This transformation is one of the most important operations in serious attempts in the literature to address pressing problems about the universe such as dark energy and dark matter. In this work, we derive the disformal transformation of the Einstein-Hilbert action following effectively the same logic as that for the conformal transformation. The resulting action, however, contains “anomalous” terms that could be construed

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Mandal, Susobhan, Tausif Parvez, and S. Shankaranarayanan. "From the Horndeski action to the Callan-Giddings-Harvey-Strominger model and beyond." Physical Review D 109, no. 4 (2024). http://dx.doi.org/10.1103/physrevd.109.l041502.

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Akama, Shingo, and Tsutomu Kobayashi. "General theory of cosmological perturbations in open and closed universes from the Horndeski action." Physical Review D 99, no. 4 (2019). http://dx.doi.org/10.1103/physrevd.99.043522.

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Tumurtushaa, Gansukh. "Inflation with derivative self-interaction and coupling to gravity." European Physical Journal C 79, no. 11 (2019). http://dx.doi.org/10.1140/epjc/s10052-019-7443-7.

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Abstract We consider a subclass of Horndeski theories for studying cosmic inflation. In particular, we investigate models of inflation in which the derivative self-interaction of the scalar field and the non-minimal derivative coupling to gravity are present in the action and equally important during inflation. In order to control contributions of each term as well as to approach the single-term limit, we introduce a special relation between the derivative interaction and the coupling to gravity. By calculating observable quantities including the power spectra and spectral tilts of scalar and

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37

Chatzifotis, Nikos, Christoforos Vlachos, Kyriakos Destounis, and Eleftherios Papantonopoulos. "Stability of black holes with non-minimally coupled scalar hair to the Einstein tensor." General Relativity and Gravitation 54, no. 6 (2022). http://dx.doi.org/10.1007/s10714-022-02929-0.

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AbstractGeneral relativity admits a plethora of exact compact object solutions. The augmentation of Einstein’s action with non-minimal coupling terms leads to modified theories with rich structure, which, in turn, provide non-trivial solutions with intriguing phenomenology. Thus, assessing their viability under generic fluctuations is of utmost importance for gravity theories. We consider static and spherically-symmetric solutions of a Horndeski subclass which includes a massless scalar field non-minimally coupled to the Einstein tensor. Such theory possesses second-order field equations and a

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