Academic literature on the topic 'F(R) gravity'

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

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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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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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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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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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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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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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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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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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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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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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Dissertations / Theses on the topic "F(R) gravity"

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Bourhrous, Hassan. "CMB tensor anisotropies in f(R) gravity." Master's thesis, University of Cape Town, 2014. http://hdl.handle.net/11427/4866.

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Vilardi, Demetrio. "F(r) approximation in asymptotically safe quantum gravity." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2013. http://amslaurea.unibo.it/5619/.

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Nojiri, Shin'ichi, та Sergei D. Odintsov. "Modified f(R) gravity unifying R^m inflation with the ΛCDM epoch". American Physical Society, 2008. http://hdl.handle.net/2237/11276.

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Bamba, Kazuharu, Shin'ichi Nojiri, and Sergei D. Odintsov. "Inflationary cosmology and the late-time accelerated expansion of the universe in nonminimal Yang-Mills- F(R) gravity and nonminimal vector-F(R) gravity." American Physical Society, 2008. http://hdl.handle.net/2237/11280.

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Kandhai, Sulona. "Investigating the parameter space of viable models for f(R) gravity." Doctoral thesis, Faculty of Science, 2019. http://hdl.handle.net/11427/31181.

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The accelerated expansion of spacetime intuitively points to the existence of new, unknown energy fields pervading the universe, but it is has also spurred the growth of the research field of modified gravity theories. Of these, f(R) theories of gravity is the first and simplest modification to General Relativity, and have been studied extensively for their astrophysical and cosmological predictions. Power law f(R) modifications have been shown to exhibit desirable characteristics, producing the late time accelerated expansion as well as satisfying local tests of gravity. However, there is wid
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Gidelew, Amare Abebe. "Covariant perturbations in f (R) - gravity of multi-component fluid cosmologies." Master's thesis, University of Cape Town, 2009. http://hdl.handle.net/11427/4884.

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Includes abstract.<br>Includes bibliographical references (leaves 82-84).<br>We study the evolution of scalar cosmological perturbations in the 1+3 Covariant Gauge-Invariant formalism for generic f(R) theories of gravity. Working in the energy frame of the total matter, we give a complete set equations describing the evolution of matter and curvature fluctuations for a multi-fluid cosmological medium. We then specialize to a radiation-dust fluid described by barotropic equations of state. We apply the perturbation equations around a background solution of Rⁿ gravity and look at exact solutions
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Dlamini, Simthembile. "Evolution of matter density perturbations in viable f (R) theories of gravity." Master's thesis, Faculty of Science, 2019. http://hdl.handle.net/11427/31500.

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In the ΛCDM model, the late-time accelerated expansion of the Universe is explained via a dark energy fluid in the form of a cosmological constant. Such a cosmological constant dominates the energy budget of the Universe today, and yet, it is still a poorly understood species because it is not observed yet. A competitive theoretical approach to understand this is via the so-called f (R) extended theories of gravity, which explain the late acceleration epoch of the Universe resorting to a geometrical modification of the field equations. We illustrate how f (R) theories are constructed and how b
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Nzioki, Anne Marie. "1+1+2 covariant approach to gravitational lensing in f(R) gravity." Master's thesis, University of Cape Town, 2009. http://hdl.handle.net/11427/17116.

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Includes bibliographical references (pages 64-67).<br>In this thesis, we develop the 1 + 1 + 2 formalism, a technique originally devised for General Relativity, to treat spherically symmetric spacetimes in for fourth order theories of gravity. Using this formalism, we derive equations for a static and spherically symmetric spacetime for general f(R) gravity. We apply these master eqautions to derive some exact solutions, which are used to gain insight on Birkhoff's theorem in this framework. Additionally, we derive a covariant form of the lensing angle for a specific spherically symmetric solu
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Aboelhassan, Sheref Nasereldin. "Probing the cosmological dynamics of a logarithmic f (R) theory of gravity." Master's thesis, University of Cape Town, 2015. http://hdl.handle.net/11427/15727.

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Includes bibliographical references<br>In this thesis we make a contribution in the area of Extended Theories of Gravity (ETG) by studying the dynamics of the R ln R model. We draw attention to the importance of introducing complete alternative theories of gravity and studying the possible geometrical origin of Dark Energy (unknown form of energy), which is commonly thought to be responsible for the present epoch of accelerated expansion that our universe undergoes. The first chapter of the thesis is an introduction to one of the most successful models in the realm of cosmology i.e. the CDM mo
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Reeves, Edward. "Aspects of modified gravity." Thesis, University of Manchester, 2014. https://www.research.manchester.ac.uk/portal/en/theses/aspects-of-modified-gravity(69d3a682-1dbd-4876-9b28-dd8767aea20a).html.

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Book chapters on the topic "F(R) gravity"

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Falls, Kevin. "The Flow of $$F(R)$$ F ( R ) Gravity." In Asymptotic Safety and Black Holes. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-01294-0_3.

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Jaime, Luisa, Marcelo Salgado, and Leonardo Patiño. "Cosmology in $$f(R)$$ f ( R ) Exponential Gravity." In Springer Proceedings in Physics. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-06761-2_51.

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Faraoni, Valerio. "Nine Years of f(R) Gravity and Cosmology." In Astrophysics and Space Science Proceedings. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-02063-1_2.

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De Laurentis, M., and R. Farinelli. "Rotating Black Hole Solutions in f(R)-Gravity." In Springer Proceedings in Physics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-94256-8_5.

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Bose, Sownak. "Testing the Quasi-static Approximation in f(R) Gravity Simulations." In Springer Theses. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-96761-5_5.

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Capozziello, Salvatore. "f (R)-Gravity Matched With Large Scale Structure and Cosmological Observations." In Springer Proceedings in Physics. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-19760-4_11.

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Capozziello, Salvatore. "Recovering Flat Rotation Curves and Galactic Dynamics From f(R)-Gravity." In Astrophysics and Space Science Proceedings. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-02063-1_1.

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Sebastiani, Lorenzo. "Finite-Time Singularities in Modified F (R,G)-Gravity and Singularity Avoidance." In Springer Proceedings in Physics. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-19760-4_24.

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Vacaru, Sergiu I. "Wormholes and Off-Diagonal Solutions in f(R,T), Einstein and Finsler Gravity Theories." In Progress in Mathematical Relativity, Gravitation and Cosmology. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-40157-2_67.

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Guendelman, E., A. Kaganovich, E. Nissimov, and S. Pacheva. "f(R)-Gravity: “Einstein Frame” Lagrangian Formulation, Non-standard Black Holes and QCD-Like Confinement/Deconfinement." In Springer Proceedings in Mathematics & Statistics. Springer Japan, 2014. http://dx.doi.org/10.1007/978-4-431-55285-7_13.

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Conference papers on the topic "F(R) gravity"

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AKBAR, M., and SALAHUDDIN. "EQUILIBRIUM THERMODYNAMICS AND f(R) GRAVITY." In Proceedings of the MG12 Meeting on General Relativity. WORLD SCIENTIFIC, 2012. http://dx.doi.org/10.1142/9789814374552_0160.

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BABICHEV, E., and D. LANGLOIS. "RELATIVISTIC STARS IN f (R) GRAVITY." In Proceedings of the MG12 Meeting on General Relativity. WORLD SCIENTIFIC, 2012. http://dx.doi.org/10.1142/9789814374552_0188.

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TOPORENSKY, A. V., and E. E. BUKZHALEV. "ASYMPTOTIC SOLUTIONS IN f(R)-GRAVITY." In Proceedings of the MG13 Meeting on General Relativity. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814623995_0296.

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Imankul, M. "QUANTUM APPROACH TO F(R) GRAVITY WITH F-ESSENCE." In 19th SGEM International Multidisciplinary Scientific GeoConference EXPO Proceedings. STEF92 Technology, 2019. http://dx.doi.org/10.5593/sgem2019/6.2/s28.085.

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Ferraro, Rafael. "f(R) and f(T) theories of modified gravity." In I COSMOSUL: COSMOLOGY AND GRAVITATION IN THE SOUTHERN CONE. AIP, 2012. http://dx.doi.org/10.1063/1.4756821.

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Nzioki, Anne Marie, Peter K. S. Dunsby, Rituparno Goswami, and Sante Carloni. "Strong gravitational lensing in f(R) gravity." In TOWARDS NEW PARADIGMS: PROCEEDING OF THE SPANISH RELATIVITY MEETING 2011. AIP, 2012. http://dx.doi.org/10.1063/1.4734470.

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Artymowski, Michal, Zygmunt Lalak, and Marek Lewicki. "Inflation and DE from f(R) gravity." In 18th International Conference From the Planck Scale to the Electroweak Scale. Sissa Medialab, 2016. http://dx.doi.org/10.22323/1.258.0009.

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REBOUÇAS, M. J., and J. SANTOS. "VIOLATION OF CAUSALITY IN f(R) GRAVITY." In Proceedings of the MG12 Meeting on General Relativity. WORLD SCIENTIFIC, 2012. http://dx.doi.org/10.1142/9789814374552_0410.

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LOBO, FRANCISCO S. N., and TIBERIU HARKO. "EXTENDED F(R, LM) THEORIES OF GRAVITY." In Proceedings of the MG13 Meeting on General Relativity. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814623995_0110.

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Saridakis, Emmanuel N. "F(R) nonlinear massive gravity and cosmology." In Proceedings of the MG14 Meeting on General Relativity. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813226609_0255.

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