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A general approach to viable modified $f(R)$ gravity is developed in both the Jordan and the Einstein frames. A class of exponential, realistic modified gravities is introduced and investigated with care. Special focus is made on step-class…

High Energy Physics - Theory · Physics 2008-11-26 G. Cognola , E. Elizalde , S. Nojiri , S. D. Odintsov , L. Sebastiani , S. Zerbini

We construct a consistency test of General Relativity (GR) on cosmological scales. This test enables us to distinguish between the two alternatives to explain the late-time accelerated expansion of the universe, that is, dark energy models…

Astrophysics · Physics 2009-06-23 Yong-Seon Song , Kazuya Koyama

We present an analytical and numerical study of a nonlinear diffusion model which describes density relaxation of loosely packed particles under gravity and weak random (thermal) vibration, and compare the results with Monte Carlo…

Soft Condensed Matter · Physics 2009-11-10 Jeferson J. Arenzon , Yan Levin , Mauro Sellitto

The idea that we live in a Universe undergoing a period of acceleration is a strongly held notion in cosmology. As this can, potentially, be explained with a modification to General Relativity we look at current cosmological data with the…

Astrophysics · Physics 2010-11-11 Shaun A. Thomas , Filipe B. Abdalla , Jochen Weller

Gravitational lensing is most often used as a tool to investigate the distribution of (dark) matter in the universe, but, if the mass distribution is known a priori, it becomes, at least in principle, a powerful probe of gravity itself.…

Astrophysics · Physics 2009-11-06 Daniel J. Mortlock , Edwin L. Turner

The standard approach to test for deviations from general relativity on cosmological scales is to combine measurements of the growth rate of structure with gravitational lensing. In this study, we show that this method suffers from an…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-26 Sveva Castello , Zhuangfei Wang , Lawrence Dam , Camille Bonvin , Levon Pogosian

Modifications of Special Relativity by the introduction of an invariant energy and/or momentum level (so-called Doubly Special Relativity theories, DSR) or by an energy-momentum dependence of the Planck constant (Generalized Uncertainty…

General Relativity and Quantum Cosmology · Physics 2008-11-26 F. Hinterleitner

Modified gravity is one of the most promising candidates for explaining the current accelerating expansion of the Universe, and even its unification with the inflationary epoch. Nevertheless, the wide range of models capable to explain the…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Álvaro de la Cruz-Dombriz , Diego Sáez-Gómez

The modified gravity is considered in the framework of the holographic dark energy. An analysis of the autonomous system, the critical points and their stability is presented. Unlike the dark energy models based on $f(R)$, it is found that…

General Relativity and Quantum Cosmology · Physics 2020-03-18 L. N. Granda , G. D. Rojas

We study cosmological evolutions of the generalized model of nonlinear massive gravity in which the graviton mass is given by a rolling scalar field and is varying along time. By performing dynamical analysis, we derive the critical points…

High Energy Physics - Theory · Physics 2015-06-12 De-Jun Wu , Yifu Cai , Yun-Song Piao

We use a dynamical system approach to study the cosmological viability of $f(R,\mathcal{G})$ gravity theories. The method consists of formulating the evolution equations as an autonomous system of ODEs, using suitable variables. The…

General Relativity and Quantum Cosmology · Physics 2018-03-12 Simony Santos da Costa , Fernando V. Roig , Jailson S. Alcaniz , Salvatore Capozziello , Mariafelicia de Laurentis , Micol Benetti

In the pursuit of a general formulation for a modified gravitational theory at the non-relativistic level and as an alternative to the dark matter hypothesis, we construct a model valid over a wide variety of astrophysical scales. Through…

Astrophysics of Galaxies · Physics 2011-12-13 S. Mendoza , X. Hernandez , J. C. Hidalgo , T. Bernal

We investigate the proof of concept and the implications of \textit{refracted gravity}, a novel modified gravity aimed to solve the discrepancy between the luminous and the dynamical mass of cosmic structures without resorting to dark…

Astrophysics of Galaxies · Physics 2016-03-17 Titos Matsakos , Antonaldo Diaferio

Several f(R) modified gravity models have been proposed which realize the correct cosmological evolution and satisfy solar system and laboratory tests. Although nonrelativistic stellar configurations can be constructed, we argue that…

Astrophysics · Physics 2009-02-20 Tsutomu Kobayashi , Kei-ichi Maeda

In this paper, we have introduced a new $f(R)$ gravity model as an attempt to have a model with more parametric control, so that the model can be used to explain the existing problems as well as to explore new directions in physics of…

General Relativity and Quantum Cosmology · Physics 2020-12-03 Dhruba Jyoti Gogoi , Umananda Dev Goswami

New corrections to General Relativity are considered in the context of modified $f(R)$ gravity, that satisfy cosmological and local gravity constraints. The proposed models behave asymptotically as $R-2\Lambda$ at large curvature and show…

General Relativity and Quantum Cosmology · Physics 2022-01-13 L. N. Granda

Cosmological scalar perturbation theory studied in the Newtonian gauge depends on two potentials $\Phi$ and $\Psi$. In General Relativity (GR) they must coincide ($\Phi=\Psi$) in the absence of anisotropic stresses sourced by the energy…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-02 C. M. S. Barbosa , H. Velten , J. C. Fabris , Rudnei O. Ramos

Current constraints on gravity are relatively weak on galactic and intergalactic scales. Screened modified gravity models can exhibit complex behaviour there without violating stringent tests of gravity within our Solar System. They might…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-15 Aneesh P. Naik , Ewald Puchwein , Anne-Christine Davis , Christian Arnold

The statistics of dark matter halos is an essential component of understanding the nonlinear evolution in modified gravity cosmology. Based on a series of modified gravity N-body simulations, we investigate the halo mass function,…

Cosmology and Nongalactic Astrophysics · Physics 2013-02-21 Youcai Zhang , Pengjie Zhang , Xiaohu Yang , Weiguang Cui

We have carried out a set of cosmological hydrodynamical simulations that follow galaxy formation in $f(R)$ modified gravity models. Our simulations employ the Illustris-TNG full physics model and a new modified gravity solver in the AREPO…

Cosmology and Nongalactic Astrophysics · Physics 2019-07-09 Christian Arnold , Matteo Leo , Baojiu Li