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We consider the Palatini formulation of $f(R,T)$ gravity theory, in which a nonminimal coupling between the Ricci scalar and the trace of the energy-momentum tensor is introduced, by considering the metric and the affine connection as…

广义相对论与量子宇宙学 · 物理学 2018-07-24 Jimin Wu , Guangjie Li , Tiberiu Harko , Shi-Dong Liang

We present a review of cosmological solutions in non-linear massive gravity, focusing on the stability of perturbations. Although homogeneous and isotropic solutions have been found, these are now known to suffer from either Higuchi ghost…

高能物理 - 理论 · 物理学 2013-09-12 Antonio De Felice , A. Emir Gumrukcuoglu , Chunshan Lin , Shinji Mukohyama

A modified gravity theory with $f(R)=R^2$ coupled to a dark energy lagrangian $L=-V(\phi)F(X)$ , $X=\nabla_{\mu}\phi\nabla^{\mu}\phi$, gives plausible cosmological scenarios when the modified Friedman equations are solved subject to the…

宇宙学与河外天体物理 · 物理学 2020-10-30 Debashis Gangopadhyay , Somnath Mukherjee

In this paper we derive a novel cosmological model from the $f(R,T)$ theory of gravitation, for which $R$ is the Ricci scalar and $T$ is the trace of the energy-momentum tensor. We consider the functional form $f(R,T)=f(R)+f(T)$, with…

广义相对论与量子宇宙学 · 物理学 2019-06-04 P. H. R. S. Moraes , P. K. Sahoo , G. Ribeiro , R. A. C. Correa

We study the origin of dark matter based on the ghost-free bigravity theory with twin matter fluids. The present cosmic acceleration can be explained by the existence of graviton mass, while dark matter is required in several cosmological…

广义相对论与量子宇宙学 · 物理学 2015-01-07 Katsuki Aoki , Kei-ichi Maeda

Recent elaborated by T. Harko and collaborators, the $f(R,T)$ theories of gravity contemplate an optimistic alternative to dark energy, for which $R$ and $T$ stand for the Ricci scalar and the trace of the energy-momentum tensor,…

广义相对论与量子宇宙学 · 物理学 2016-03-23 P. H. R. S. Moraes , J. R. L. Santos

We investigate the cosmological evolution in a universe governed by the extended, varying-mass, nonlinear massive gravity, in which the graviton mass is promoted to a scalar-field. We find that the dynamics, both in flat and open universe,…

广义相对论与量子宇宙学 · 物理学 2013-03-08 Emmanuel N. Saridakis

A modified f(R) gravity model has been recently proposed in Phys. Rev. Lett. 102, 221101 (2009) [arXiv:0905.1941] whose cosmological behaviour is clearly distinguishable from LCDM. Contrary to previous opinions which consider that…

宇宙学与河外天体物理 · 物理学 2009-10-29 A. de la Cruz-Dombriz , A. Dobado , A. L. Maroto

We study the self-compactification of extra dimensions via higher curvature gravity, f(R), where f(R) is the generic function of the Ricci scalar R. First, we reduce pure f(R) theory to a scalar-tensor theory by a conformal transformation.…

高能物理 - 理论 · 物理学 2011-02-16 Beyhan Pulice , Sukru Hanif Tanyildizi

We analyze 2+1-dimensional gravity in the framework of quantum gauge theory. We find that Einstein gravity has a trivial physical subspace which reflects the fact that the classical solution in empty space is flat. Therefore we study…

广义相对论与量子宇宙学 · 物理学 2010-08-10 D. R. Grigore , G. Scharf

We review recent progress on cosmological issues and theoretical properties of modified gravity theories. In particular, we explicitly explore the conformal transformation, the Starobinsky inflation, and a unified scenario of inflation and…

高能物理 - 理论 · 物理学 2014-03-03 Kazuharu Bamba , Sergei D. Odintsov

The ghost-free theory of massive gravity with two dynamical metrics has been shown to produce viable cosmological expansion, where the late-time acceleration of the Universe is due to the finite range of the gravitational interaction rather…

宇宙学与河外天体物理 · 物理学 2014-10-29 Adam R. Solomon , Yashar Akrami , Tomi S. Koivisto

The generalized $f(R)$ gravity with curvature-matter coupling in five-dimensional (5D) spacetime can be established by assuming a hypersurface-orthogonal spacelike Killing vector field of 5D spacetime, and it can be reduced to the 4D…

广义相对论与量子宇宙学 · 物理学 2014-04-22 Ya-Bo Wu , Yue-Yue Zhao , Jun-Wang Lu , Xue Zhang , Cheng-Yuan Zhang , Jia-Wei Qiao

We consider a higher dimensional gravity theory with a negative kinetic energy scalar field and a cosmological constant. We find that the theory admits an exact cosmological solution for the scale factor of our universe. It has the feature…

广义相对论与量子宇宙学 · 物理学 2008-11-26 S. T. Hong , J. Lee , T. H. Lee , P. OH

The modified F(R)-scalar-Gauss-Bonnet gravity is proposed as dark energy model. The reconstruction program for such theory is developed. It is explicitly demonstrated that the known classical universe expansion history (deceleration epoch,…

高能物理 - 理论 · 物理学 2008-11-26 Shin'ichi Nojiri , Sergei D. Odintsov , Petr V. Tretyakov

Torsion and curvature could play a fundamental role in explaining cosmological dynamics. f(R)-gravity with torsion is an approach aimed to encompass in a comprehensive scheme all the Dark Side of the Universe (Dark Energy and Dark Matter).…

广义相对论与量子宇宙学 · 物理学 2014-11-20 S. Capozziello , S. Vignolo

Modified f(R) gravity is one of the most promising candidates for dark energy, and even for the unification of the whole cosmological evolution, including the inflationary phase. Within this class of theories, the so-called viable modified…

广义相对论与量子宇宙学 · 物理学 2015-06-05 Diego Sáez-Gómez

We present a novel approach to modified theories of gravity that consists of adding to the Einstein-Hilbert Lagrangian an f(R) term constructed a la Palatini. Using the respective dynamically equivalent scalar-tensor representation, we show…

广义相对论与量子宇宙学 · 物理学 2012-04-26 Tiberiu Harko , Tomi S. Koivisto , Francisco S. N. Lobo , Gonzalo J. Olmo

We construct a cosmological model from the inception of the Friedmann-Lem\^aitre-Robertson-Walker metric into the field equations of the f(R,L_m) gravity theory, with R being the Ricci scalar and L_m being the matter lagrangian density. The…

广义相对论与量子宇宙学 · 物理学 2024-03-21 B. S. Gonçalves , P. H. R. S. Moraes , B. Mishra

We consider cosmological scenarios based on $f(R,T)$ theories of gravity ($R$ is the Ricci scalar and $T$ is the trace of the energy-momentum tensor) and numerically reconstruct the function $f(R,T)$ which is able to reproduce the same…

广义相对论与量子宇宙学 · 物理学 2015-03-19 M. J. S. Houndjo , Oliver F. Piattella