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We show that within the class of f(R) gravity theories, FLRW power-law perfect fluid solutions only exist for R^n gravity. This significantly restricts the set of exact cosmological solutions which have similar properties to what is found…

广义相对论与量子宇宙学 · 物理学 2009-09-24 Naureen Goheer , Julien Larena , Peter K. S. Dunsby

We investigate the evolution of non vacuum Friedmann-Lema\^itre-Robertson-Walker (FLRW) with any spatial curvature in the context of Gauss-Bonnet gravity. The analysis employs a new method which enables us to explore the phase space of any…

广义相对论与量子宇宙学 · 物理学 2017-09-13 Sante Carloni , José P. Mimoso

Modified gravity theories with the Gauss-Bonnet term $G=R^2-4R^{\mu\nu}R_{\mu\nu}+R^{\mu\nu\rho\sigma}R_{\mu\nu\rho\sigma}$ have recently gained a lot of attention as a possible explanation of dark energy. We perform a thorough phase space…

广义相对论与量子宇宙学 · 物理学 2010-10-01 Shuang-Yong Zhou , Edmund J. Copeland , Paul M. Saffin

We develop the reconstruction program for the number of modified gravities: scalar-tensor theory, $f(R)$, $F(G)$ and string-inspired, scalar-Gauss-Bonnet gravity. The known (classical) universe expansion history is used for the explicit and…

高能物理 - 理论 · 物理学 2010-04-06 Shin'ichi Nojiri , Sergei D. Odintsov

We consider the cosmology where some function f(G) of the Gauss-Bonnet term G is added to the gravitational action to account for the late-time accelerating expansion of the universe. The covariant and gauge invariant perturbation equations…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Baojiu Li , John D. Barrow , David F. Mota

Motivated by string/M-theory predictions that scalar field couplings with the Gauss-Bonnet invariant, G, are essential in the appearance of non-singular early time cosmologies, we discuss the viability of an interesting alternative…

广义相对论与量子宇宙学 · 物理学 2015-03-17 Nadiezhda Montelongo García , Tiberiu Harko , Francisco S. N. Lobo , José P. Mimoso

A modified f(G) gravity model with coupling between matter and geometry is proposed, which is described by the product of the Lagrange density of the matter and an arbitrary function of the Gauss-Bonnet term. The field equations and the…

宇宙学与河外天体物理 · 物理学 2015-06-04 Yue-Yue Zhao , Ya-Bo Wu , Jianbo Lu , Zhuo Zhang , Wei-Li Han , Liang-Liang Ling

In the present paper we consider $f(R)$ gravity theories in the metric approach and we derive the equations of motion, focusing also on the boundary conditions. In such a way we apply the general equations to a first order perturbation…

宇宙学与河外天体物理 · 物理学 2015-06-18 L. Cosmai , G. Fanizza , L. Tedesco

We consider spatially homogeneous and isotropic Friedmann-Robertson-Walker (FRW) solutions of Milgrom's recently proposed class of bimetric theories of gravity. These theories have two different regimes, corresponding to high and low…

宇宙学与河外天体物理 · 物理学 2014-11-20 Timothy Clifton , Thomas G. Zlosnik

Power-law solutions for $f(G)$ gravity coupled with perfect fluid have been studied for spatially flat universe. It is shown that despite the matter dominated and accelerating power-law solutions, the power-law solution exists for an…

广义相对论与量子宇宙学 · 物理学 2012-02-09 A. R. Rastkar , M. R. Setare , F. Darabi

One of the most relevant solutions in any cosmological model concerning the evolution of the universe is the power-law solution. For the scalar-tensor model of dark energy with kinetic and Gauss Bonnet couplings, it is shown that we can…

广义相对论与量子宇宙学 · 物理学 2018-09-05 L. N. Granda , D. F. Jimenez

We discuss the cosmological reconstruction in modified Gauss-Bonnet and F(R) gravities. Two alternative representations of the action (with and without auxiliary scalar) are considered. The approximate description of…

高能物理 - 理论 · 物理学 2014-11-20 Shin'ichi Nojiri , Sergei D. Odintsov , Alexey Toporensky , Petr Tretyakov

We study cosmologies in modified theories of gravity considering Lagrangian density $f(R)$ which is a polynomial function of scalar curvature ($R$) in the Einstein-Hilbert action in vacuum. The field equation obtained from the modified…

宇宙学与河外天体物理 · 物理学 2009-10-29 B. C. Paul , P. S. Debnath , S. Ghose

Teleparallel theories of gravity have a long history. They include a special case referred to as the Teleparallel Equivalent of General Relativity (TEGR, aka GR$_{\|}$). Recently this theory has been generalized to f(T) gravity. Tight…

广义相对论与量子宇宙学 · 物理学 2013-08-01 Yen Chin Ong , Keisuke Izumi , James M. Nester , Pisin Chen

In considering alternative higher-order gravity theories, one is liable to be motivated in pursuing models consistent and inspired by several candidates of a fundamental theory of quantum gravity. Indeed, motivations from string/M-theory…

广义相对论与量子宇宙学 · 物理学 2015-03-17 Nadiezhda Montelongo García , Tiberiu Harko , Francisco S. N. Lobo , José P. Mimoso

Modified Gauss-Bonnet, i.e, $f(G)$ gravity is a possible explanation of dark energy. Late time cosmology for the $f(G)$ gravity non-minimally coupled with a free massless scalar field have been investigated in Ref. [32]. In this paper we…

高能物理 - 理论 · 物理学 2009-09-28 J Sadeghi , M R Setare , A Banijamali

In this paper we propose and extensively study mimetic $f({\cal G})$ modified gravity models, with various scenarios of cosmological evolution, with or without extra matter fluids. The easiest formulation is based on the use of Lagrange…

广义相对论与量子宇宙学 · 物理学 2015-09-23 Artyom V. Astashenok , Sergei D. Odintsov , V. K. Oikonomou

We derive conditions under which f(G) gravity models, whose Lagrangian densities f are written in terms of a Gauss-Bonnet term G, are cosmologically viable. The most crucial condition to be satisfied is that f_GG, the second derivative of f…

高能物理 - 理论 · 物理学 2009-04-18 Antonio De Felice , Shinji Tsujikawa

Modified theories of gravity have recently been studied by several authors as possibly viable alternatives to the cosmological concordance model. Such theories attempt to explain the accelerating expansion of the universe by changing the…

天体物理学 · 物理学 2013-05-29 T. Multamaki , I. Vilja

We review various modified gravities considered as gravitational alternative for dark energy. Specifically, we consider the versions of $f(R)$, $f(G)$ or $f(R,G)$ gravity, model with non-linear gravitational coupling or string-inspired…

高能物理 - 理论 · 物理学 2009-09-17 S. Nojiri , S. D. Odintsov
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