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Journal articles on the topic 'F(R) gravity'

Author: Grafiati

Published: 4 June 2021

Last updated: 14 February 2022

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1

Zhdanov, V., and O. Stashko. "Hubble parameter in f(R)-gravity." Bulletin of Taras Shevchenko National University of Kyiv. Astronomy, no. 61 (2020): 22–25. http://dx.doi.org/10.17721/btsnua.2020.61.22-25.

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In view of the famous problem with the “Hubble constant tension” there is a number of approaches to modify the cosmological equations and correspondingly modify Hubble parameter H(z) in order to to relieve the tension between the “early” and “late” Hubble constants. f(R)– gravity is one of such possible modifications. We discuss how to choose the Lagrangian in the f(R)– gravity on account of observational data within the homogeneous isotropic cosmology. The equation is obtained that enable us to derive f(R) for given Hubble parameter H(z). This yields a second order differential equation with

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2

Harko, Tiberiu, and Francisco S. N. Lobo. "f(R,L m ) gravity." European Physical Journal C 70, no. 1-2 (2010): 373–79. http://dx.doi.org/10.1140/epjc/s10052-010-1467-3.

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3

Borzou, A., H. R. Sepangi, S. Shahidi, and R. Yousefi. "Brane f($\mathcal{R}$) gravity." EPL (Europhysics Letters) 88, no. 2 (2009): 29001. http://dx.doi.org/10.1209/0295-5075/88/29001.

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4

Sotiriou, Thomas P., and Valerio Faraoni. "f(R)theories of gravity." Reviews of Modern Physics 82, no. 1 (2010): 451–97. http://dx.doi.org/10.1103/revmodphys.82.451.

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5

Nozari, Kourosh, and Naser Sadeghnezhad. "Braneworld mimetic f(R) gravity." International Journal of Geometric Methods in Modern Physics 16, no. 03 (2019): 1950042. http://dx.doi.org/10.1142/s0219887819500427.

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Following our recent work on braneworld mimetic gravity, in this paper, we study an extension of braneworld mimetic gravity to the case that the gravitational sector on the brane is modified in the spirit of [Formula: see text] theories. We assume the physical 5D bulk metric in the Randall–Sundrum II braneworld scenario consists of a 5D scalar field (which mimics the dark sectors on the brane) and an auxiliary 5D metric. We find the 5D Einstein’s field equations and the 5D equation of motion of the bulk scalar field in this setup. By using the Gauss–Codazzi equations, we obtain the induced Ein

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6

Sebastiani, Lorenzo, and Ratbay Myrzakulov. "F(R)-gravity and inflation." International Journal of Geometric Methods in Modern Physics 12, no. 09 (2015): 1530003. http://dx.doi.org/10.1142/s0219887815300032.

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In this short review, we revisit inflation in F(R)-gravity. We find several F(R)-models for viable inflation by applying some reconstruction techniques. A special attention is payed in the reproduction of the last Planck satellite data. The possible generalizations of Starobinsky-like inflation are found and discussed. The early-time acceleration is analyzed in a higher derivative quantum gravitational model which mainly reduces to F(R)-gravity.

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7

Abebe, Amare, and Maye Elmardi. "Irrotational-fluid cosmologies in fourth-order gravity." International Journal of Geometric Methods in Modern Physics 12, no. 10 (2015): 1550118. http://dx.doi.org/10.1142/s0219887815501182.

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In this paper, we explore classes of irrotational-fluid cosmological models in the context of f(R)-gravity in an attempt to put some theoretical and mathematical restrictions on the form of the f(R) gravitational Lagrangian. In particular, we investigate the consistency of linearized dust models for shear-free cases as well as in the limiting cases when either the gravito-magnetic or gravito-elecric components of the Weyl tensor vanish. We also discuss the existence and consistency of classes of non-expanding irrotational spacetimes in f(R)-gravity.

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8

Momeni, D., R. Myrzakulov, and E. Güdekli. "Cosmological viable mimetic f(R) and f(R, T) theories via Noether symmetry." International Journal of Geometric Methods in Modern Physics 12, no. 10 (2015): 1550101. http://dx.doi.org/10.1142/s0219887815501017.

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Extended f(R) theories of gravity have been investigated from the symmetry point of view. We briefly has been investigated Noether symmetry of two types of extended f(R) theories: f(R, T) theory, in which curvature is coupled non-minimally to the trace of energy–momentum tensor Tμν and mimetic f(R) gravity, a theory with a scalar field degree of freedom, but ghost-free and with internal conformal symmetry. In both cases we write point-like Lagrangian for flat Friedmann–Lemaitre–Robertson–Walker (FLRW) cosmological background in the presence of ordinary matter. We have been shown that some clas

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9

LEE, SEOKCHEON. "PALATINI f(R) COSMOLOGY." Modern Physics Letters A 23, no. 17n20 (2008): 1388–96. http://dx.doi.org/10.1142/s021773230802776x.

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We investigate the modified gravity theories in terms of the effective dark energy models. We compare the cosmic expansion history and the linear growth in different models. We also study the evolution of linear cosmological perturbations in modified theories of gravity assuming the Palatini formalism. We find the stability of the superhorizon metric evolution depends on models. We also study the matter density fluctuation in the general gauge and show the differential equations in super and sub-horizon scales.

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10

Rani, Shamaila, M. Bilal Amin Sulehri, and Abdul Jawad. "Cosmological consequences of parameterized f(R,∇R) gravity." Physics of the Dark Universe 29 (September 2020): 100555. http://dx.doi.org/10.1016/j.dark.2020.100555.

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11

SALTI, Mustafa, Murat Korunur, Irfan Acikgoz, Nurettin Pirinccioglu, and Figen Binbay. "f(T,R) theory of gravity." International Journal of Modern Physics D 27, no. 05 (2018): 1850062. http://dx.doi.org/10.1142/s0218271818500621.

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We mainly focus on the idea that the dynamics of the whole universe may be understood by making use of torsion [Formula: see text] and curvature [Formula: see text] at the same time. The [Formula: see text]-gravity can be considered as a fundamental gravitational theory describing the evolution of the universe. The model can produce the unification of the general relativity (GR), teleparallel gravity (TPG), [Formula: see text]-gravity and [Formula: see text]-gravity theories. For this purpose, the corresponding Lagrangian density is written in terms of an arbitrary function of the torsion and

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12

DZHUNUSHALIEV, VLADIMIR. "DYNAMICAL F(R) GRAVITIES." International Journal of Modern Physics D 21, no. 05 (2012): 1250042. http://dx.doi.org/10.1142/s0218271812500423.

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It is offered that F(R) modified gravities can be considered as nonperturbative quantum effects arising from Einstein gravity. It is assumed that nonperturbative quantum effects gives rise to the fact that the connection becomes incompatible with the metric, the metric factors and the square of the connection in Einstein–Hilbert Lagrangian have nonperturbative additions. In the simplest approximation both additions can be considered as functions of one scalar field. The scalar field can be excluded from the Lagrangian obtaining F(R) gravity. The essence of quantum correction to the affine conn

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13

Abdelmohssin, Faisal A. Y., and Osman M. H. El Mekki. "The Hamiltonian of f(R) gravity." Canadian Journal of Physics 99, no. 9 (2021): 814–19. http://dx.doi.org/10.1139/cjp-2021-0058.

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We derive conjugate momenta variable tensors and the Hamiltonian equation of the source-free f(R) gravity from first principles using the Legendre transformation of these conjugate momenta variable tensors, conjugate coordinates variables — fundamental metric tensor and its first ordinary partial derivatives with respect to space–time coordinates and second ordinary partial derivatives with respect to space–time coordinates — and the Lagrangian of the f(R) gravity. Interpreting the derived Hamiltonian as the energy of the f(R) gravity we have shown that it vanishes for linear Lagrangians in Ri

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14

Myrzakul, S. R., Y. M. Myrzakulov, and М. Arzimbetova. "INFLATION IN F(R, T) GRAVITATION WITH f-ESSENCE." PHYSICO-MATHEMATICAL SERIES 5, no. 333 (2020): 106–12. http://dx.doi.org/10.32014/2020.2518-1726.89.

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. Modified theories of gravity have become a kind of paradigm in modern physics because they seem to solve several shortcomings of the standard General Theory of Relativity (GTR) related to cosmology, astrophysics and quantum field theory. The most famous modified theories of gravity are F(R) and F(T) theories of gravity. A generalization of these two modified theories and gravitations, which was first proposed by Myrzakulov Ratbay. In this paper, we study an inhomogeneous isotropic cosmological model with a fermion field f-essence whose action has the form , where R is the scalar of curvature

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15

Jamil, Mubasher, Farook Rahaman, Ratbay Myrzakulov, Peter Kuhfittig, Nasr Ahmed, and Umar Mondal. "Nonommutative wormholes in f(R) gravity." Journal of the Korean Physical Society 65, no. 6 (2014): 917–25. http://dx.doi.org/10.3938/jkps.65.917.

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16

Nojiri, S., S. D. Odintsov, and V. K. Oikonomou. "k-essence f(R) gravity inflation." Nuclear Physics B 941 (April 2019): 11–27. http://dx.doi.org/10.1016/j.nuclphysb.2019.02.008.

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17

De Laurentis, Mariafelicia. "Noether's stars in f(R) gravity." Physics Letters B 780 (May 2018): 205–10. http://dx.doi.org/10.1016/j.physletb.2018.03.001.

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18

Odintsov, S. D., and V. K. Oikonomou. "Inflationary attractors in F(R) gravity." Physics Letters B 807 (August 2020): 135576. http://dx.doi.org/10.1016/j.physletb.2020.135576.

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19

Bamba, K., and C. Q. Geng. "Oscillating Phantom in F(R) Gravity." Progress of Theoretical Physics 122, no. 5 (2009): 1267–76. http://dx.doi.org/10.1143/ptp.122.1267.

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20

CODELLO, ALESSANDRO, ROBERTO PERCACCI, and CHRISTOPH RAHMEDE. "ULTRAVIOLET PROPERTIES OF f(R)-GRAVITY." International Journal of Modern Physics A 23, no. 01 (2008): 143–50. http://dx.doi.org/10.1142/s0217751x08038135.

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We discuss the existence and properties of a nontrivial fixed point in f(R)-gravity, where f is a polynomial of order up to six. Within this seven-parameter class of theories, the fixed point has three ultraviolet-attractive and four ultraviolet-repulsive directions; this brings further support to the hypothesis that gravity is nonperturbatively renormalizable.

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21

Capozziello, S., A. Stabile, and A. Troisi. "Spherical symmetry in f ( R )-gravity." Classical and Quantum Gravity 25, no. 8 (2008): 085004. http://dx.doi.org/10.1088/0264-9381/25/8/085004.

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22

Zhou, Xiao-Ying, and Jian-Hua He. "Gravitational Waves in f(R) Gravity." Chinese Physics Letters 31, no. 9 (2014): 099801. http://dx.doi.org/10.1088/0256-307x/31/9/099801.

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23

Odintsov, S. D., and V. K. Oikonomou. "Aspects of axion F(R) gravity." EPL (Europhysics Letters) 129, no. 4 (2020): 40001. http://dx.doi.org/10.1209/0295-5075/129/40001.

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24

Ulu Dog̃ru, Melis, and Dog̃ukan Taṣer. "Global monopoles in f(R) gravity." Modern Physics Letters A 30, no. 40 (2015): 1550217. http://dx.doi.org/10.1142/s021773231550217x.

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In this study, we investigate whether global monopoles cause black holes or wormholes to form. Field equations for static spherically symmetric spacetimes with global monopoles are obtained in [Formula: see text] gravity. We found exact solutions for the field equations without using any perturbation or approximation methods. It is shown that the obtained [Formula: see text] function is in accordance with the [Formula: see text]-cold dark matter ([Formula: see text]-CDM) model. Also, it is shown that the static spherically symmetric spacetimes associated with global monopoles form black holes

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25

Shamir, M. Farasat, and Saeeda Zia. "Gravastars in f(R, G) gravity." Canadian Journal of Physics 98, no. 9 (2020): 849–52. http://dx.doi.org/10.1139/cjp-2019-0587.

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This paper is focused on the study of gravitational vacuum stars or, briefly, gravastars in f(R, G) gravity, where R and G stand for the Ricci scalar and Gauss–Bonnet invariant term, respectively. Due to the involvement of highly non-linear differential equations, solutions are found by using some appropriate numerical techniques. The main structure of gravastars has been discussed according to core, shell, and exterior regions for a well-known f(R, G) gravity cosmological model. Mass–radius evolution is described graphically for the considered gravastar, and it is shown that the mass is direc

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26

Nozari, Kourosh, and Fateme Rajabi. "Baryogenesis in f ( R , T ) Gravity." Communications in Theoretical Physics 70, no. 4 (2018): 451. http://dx.doi.org/10.1088/0253-6102/70/4/451.

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27

Bukzhalev, Evgeny E., Mikhail M. Ivanov, and Alexey V. Toporensky. "Asymptotic solutions in f(R)-gravity." Classical and Quantum Gravity 31, no. 4 (2014): 045017. http://dx.doi.org/10.1088/0264-9381/31/4/045017.

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28

Paliathanasis, Andronikos. "f ( R )-gravity from Killing tensors." Classical and Quantum Gravity 33, no. 7 (2016): 075012. http://dx.doi.org/10.1088/0264-9381/33/7/075012.

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29

Bhatti, M. Z., Z. Yousaf, and A. Rehman. "Gravastars in f(R,G) gravity." Physics of the Dark Universe 29 (September 2020): 100561. http://dx.doi.org/10.1016/j.dark.2020.100561.

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30

Sharif, Muhammad, and M. Farasat Shamir. "Energy distribution in f (R) gravity." General Relativity and Gravitation 42, no. 6 (2010): 1557–69. http://dx.doi.org/10.1007/s10714-009-0927-2.

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31

Sheykhi, Ahmad. "Magnetic strings in f(R) gravity." General Relativity and Gravitation 44, no. 9 (2012): 2271–81. http://dx.doi.org/10.1007/s10714-012-1388-6.

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32

Mishra, B., A. S. Agrawal, S. K. Tripathy, and Saibal Ray. "Wormhole solutions in f(R) gravity." International Journal of Modern Physics D 30, no. 08 (2021): 2150061. http://dx.doi.org/10.1142/s0218271821500619.

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In this work, we studied the traversable wormholes geometry in [Formula: see text] theory gravity, where [Formula: see text] is the Ricci scalar. The wormhole solutions for some assumed [Formula: see text] functions are presented. The assumption of [Formula: see text] is based on the fact that its behavior changed with an assumed parameter [Formula: see text] rather than the deceleration parameter. Three models are presented based on the physically motivated shape function and their behaviors are studied.

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33

Houndjo, M. J. S., M. E. Rodrigues, N. S. Mazhari, D. Momeni, and R. Myrzakulov. "Higher-derivative f(R,□R,T) theories of gravity." International Journal of Modern Physics D 26, no. 03 (2017): 1750024. http://dx.doi.org/10.1142/s0218271817500249.

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In literature, there is a model of modified gravity in which the matter Lagrangian is coupled to the geometry via trace of the stress–energy–momentum tensor [Formula: see text]. This type of modified gravity is denoted [Formula: see text] in which [Formula: see text] is Ricci scalar [Formula: see text]. We extend manifestly this model to include the higher derivative term [Formula: see text]. We derived equations of motion (EOM) for the model by starting from the basic variational principle. Later we investigate FLRW cosmology for our model. We show that de Sitter (dS) solution is unstable for

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34

Ohkuwa, Yoshiaki, and Yasuo Ezawa. "Third quantization of f ( R )-type gravity II—general f ( R ) case." Classical and Quantum Gravity 30, no. 23 (2013): 235015. http://dx.doi.org/10.1088/0264-9381/30/23/235015.

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35

BOHMER, C., T. HARKO, and F. LOBO. "Dark matter as a geometric effect in f(R)f(R) gravity." Astroparticle Physics 29, no. 6 (2008): 386–92. http://dx.doi.org/10.1016/j.astropartphys.2008.04.003.

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36

Lambiase, G., S. Mohanty, and L. Pizza. "Consequences of $$f(R)$$ f ( R ) theories of gravity on gravitational leptogenesis." General Relativity and Gravitation 45, no. 9 (2013): 1771–85. http://dx.doi.org/10.1007/s10714-013-1555-4.

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37

Kleidis, K., and V. K. Oikonomou. "Scalar field assisted f(R) gravity inflation." International Journal of Geometric Methods in Modern Physics 15, no. 08 (2018): 1850137. http://dx.doi.org/10.1142/s0219887818501372.

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In this paper, we investigate the inflationary dynamics of an [Formula: see text] gravity in the presence of a canonical scalar field. We specifically choose the cosmological evolution to be a quasi-de Sitter evolution and also the [Formula: see text] gravity is assumed to be a modified version of the [Formula: see text] gravity. We investigate which scalar field potential can produce the quasi-de Sitter evolution for the choice of the [Formula: see text] gravity we made, and also we study in detail the inflationary dynamics of the resulting theory. As we demonstrate, the spectral index is ide

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38

Myrzakul, Shynaray, Ratbay Myrzakulov та Lorenzo Sebastiani. "f(ϕ)R-models for inflation". International Journal of Modern Physics D 25, № 04 (2016): 1650041. http://dx.doi.org/10.1142/s0218271816500413.

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In this paper, we investigate models where a scalar field driving inflation is nonminimally coupled with gravity and it is subjected to a scalar potential. We present several examples of coupling between the field and gravity, and we furnish realistic models for inflation in agreement with the last Planck results.

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39

Sefiedgar, A. S., and M. Mirzazadeh. "The wormhole thermodynamics in f (R ) gravity." Modern Physics Letters A 35, no. 04 (2019): 1950360. http://dx.doi.org/10.1142/s0217732319503607.

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Thermodynamics of the evolving Lorentzian wormhole at the apparent horizon is investigated in [Formula: see text] gravity. Redefining the energy density and the pressure, the continuity equation is satisfied and the field equations in [Formula: see text] gravity reduce to the ones in general relativity. However, the energy–momentum tensor includes all the corrections from [Formula: see text] gravity. Therefore, one can apply the standard entropy-area relation within [Formula: see text] gravity. It is shown that there may be an equivalency between the field equations and the first law of thermo

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40

Alhamzawi, Ahmed, and Rahim Alhamzawi. "Gravitational lensing by f(R,T) gravity." International Journal of Modern Physics D 25, no. 02 (2016): 1650020. http://dx.doi.org/10.1142/s0218271816500206.

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A solution for [Formula: see text] gravity of the type [Formula: see text] for specific [Formula: see text] functions is derived. It is shown that a slight modification to the Schwarzschild metric can be found for [Formula: see text], where [Formula: see text], [Formula: see text] and [Formula: see text] is some constant. The effects of [Formula: see text] gravity on gravitational lensing are calculated and the differences with general relativity are compared. Furthermore, it is shown that modified gravity can give a considerable contribution to gravitational lensing.

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41

KARAMI, K., and M. S. KHALEDIAN. "POLYTROPIC AND CHAPLYGIN f(R)-GRAVITY MODELS." International Journal of Modern Physics D 21, no. 12 (2012): 1250083. http://dx.doi.org/10.1142/s0218271812500836.

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We reconstruct different f(R)-gravity models corresponding to the polytropic, standard Chaplygin, generalized Chaplygin, modified Chaplygin and modified variable Chaplygin gas dark energy (DE) models. We also obtain the equation of state (EoS) parameters of the corresponding f(R)-gravity models which describe the accelerated expansion of the universe. We conclude that although the EoS parameters of the obtained f(R)-gravities can behave like phantom or quintessence DE models, they cannot justify the transition from the quintessence state to the phantom regime. Furthermore, the polytropic and C

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42

Haghani, Zahra, Maryam Shiravand, and Shahab Shahidi. "Energy conditions in mimetic-f(R) gravity." International Journal of Modern Physics D 27, no. 05 (2018): 1850049. http://dx.doi.org/10.1142/s0218271818500499.

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The energy conditions of mimetic-[Formula: see text] gravity theory is analyzed. We will obtain the parameter space of the theory in some special forms of [Formula: see text] in which the self-acceleration is allowed. In this sense, the parameter space is obtained in a way that it violates the strong energy condition while satisfying the weak, null and dominant energy conditions. We will also consider the condition that the Dolgov–Kawasaki instability is avoided. This condition will be further imposed in the parameter space of the theory. We will show that the parameter space of the mimetic-[F

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43

Capozziello, Salvatore, Carlo Alberto Mantica, and Luca Guido Molinari. "Cosmological perfect-fluids in f(R) gravity." International Journal of Geometric Methods in Modern Physics 16, no. 01 (2019): 1950008. http://dx.doi.org/10.1142/s0219887819500087.

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We show that an [Formula: see text]-dimensional generalized Robertson–Walker (GRW) space-time with divergence-free conformal curvature tensor exhibits a perfect fluid stress–energy tensor for any [Formula: see text] gravity model. Furthermore, we prove that a conformally flat GRW space-time is still a perfect fluid in both [Formula: see text] and quadratic gravity where other curvature invariants are considered.

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44

Ky, Nguyen Anh, Pham Van Ky, and Nguyen Thi Hong Van. "Testing the \(f(R)\)-theory of Gravity." Communications in Physics 29, no. 1 (2019): 35. http://dx.doi.org/10.15625/0868-3166/29/1/13192.

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A procedure of testing the \(f(R)\)-theory of gravity is discussed. The latter is an extension of the general theory of relativity (GR). In order this extended theory (in some variant) to be really confirmed as a more precise theory it must be tested. To do that we first have to solve an equation generalizing Einstein's equation in the GR. However, solving this generalized Einstein's equation is often very hard, even it is impossible in general to find an exact solution. It is why the perturbation method for solving this equation is used. In a recent work \cite{Ky:2018fer} a perturbation metho

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45

Chakrabarti, Sayan K., Koushik Dutta, and Anjan A. Sen. "Cosmology of Hořava–Lifshitz f(R) gravity." Physics Letters B 711, no. 2 (2012): 147–52. http://dx.doi.org/10.1016/j.physletb.2012.03.080.

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46

Capozziello, S., M. De Laurentis, and G. Lambiase. "Cosmic relic abundance and f(R) gravity." Physics Letters B 715, no. 1-3 (2012): 1–8. http://dx.doi.org/10.1016/j.physletb.2012.07.007.

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47

Atazadeh, K., M. Farhoudi, and H. R. Sepangi. "Accelerating universe in f(R) brane gravity." Physics Letters B 660, no. 4 (2008): 275–81. http://dx.doi.org/10.1016/j.physletb.2007.12.057.

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48

Zivick, P., and P. M. Sutter. "Distinguishing f(R) gravity with cosmic voids." Proceedings of the International Astronomical Union 11, S308 (2014): 589–90. http://dx.doi.org/10.1017/s1743921316010632.

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AbstractWe use properties of void populations identified in N-body simulations to forecast the ability of upcoming galaxy surveys to differentiate models of f(R) gravity from \lcdm cosmology. We analyze simulations designed to mimic the densities, volumes, and clustering statistics of upcoming surveys, using the public {\tt VIDE} toolkit. We examine void abundances as a basic probe at redshifts 1.0 and 0.4. We find that stronger f(R) coupling strengths produce voids up to ∼20% larger in radius, leading to a significant shift in the void number function. As an initial estimate of the constraini

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49

Sharif, M., and Zuriat Zahra. "Static wormhole solutions in f(R) gravity." Astrophysics and Space Science 348, no. 1 (2013): 275–82. http://dx.doi.org/10.1007/s10509-013-1545-8.

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50

Chakrabarti, Soumya, and Narayan Banerjee. "Spherical collapse in vacuum f(R) gravity." Astrophysics and Space Science 354, no. 2 (2014): 571–76. http://dx.doi.org/10.1007/s10509-014-2118-1.

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