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For cosmologically interesting $f(R)$ gravity models, we derive the complete set of the linearized field equations in the Newtonian gauge, under environments of the solar system, galaxies and clusters respectively. Based on these equations,…

天体物理学 · 物理学 2008-11-26 Pengjie Zhang

It is accepted by the majority of scientific community that the Universe is currently in an accelerated epoch. In order to explain this shock of late 90's, a lot of dark energy candidates have been proposed. We study in the context of f (R)…

高能物理 - 理论 · 物理学 2014-11-20 Diego Sáez-Gómez

To numerically evolve the full Einstein equations (or modifications thereof), simulations of cosmological spacetimes must rely on a particular formulation of the field equations combined with a specific gauge/frame choice. Yet truly…

广义相对论与量子宇宙学 · 物理学 2023-06-30 Anna Ijjas

We discuss theoretical formalisms concerning with experimental verification of General Relativity (GR). Non-metric generalizations of GR are considered and a system of postulates is formulated for metric-affine and Finsler gravitational…

广义相对论与量子宇宙学 · 物理学 2007-05-23 A. N. Alexandrov , I. B. Vavilova , V. I. Zhdanov

We extend the general framework of perturbative quantum field theory developped for the pure Yang-Mills model to gravity. First we present a variant of the elimination procedure of the anomalies in the second order of perturbation theory.…

高能物理 - 理论 · 物理学 2022-09-13 Dan-Radu Grigore

We discuss modified teleparallel gravity with function $f(T,T_G)$ in the action, where function depend on two arguments: torsion scalar $T$ and analogue of Gauss-Bonnet invariant $T_G$. In contradistinction to usual teleparallel gravity…

广义相对论与量子宇宙学 · 物理学 2016-05-02 Petr V. Tretyakov

The stability of binary orbits can significantly shape the gravity wave signal which future Earth-based interferometers hope to detect. The inner most stable circular orbit has been of interest as it marks the transition from the late…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Janna Levin , Rachel O'Reilly , E. J. Copeland

In the metric approach of $f(R)$ theories of gravity, the fourth-order field equations are often recast as effective Einstein equations in the presence of standard matter and a curvature fluid (which gathers all the extra terms), always in…

广义相对论与量子宇宙学 · 物理学 2020-12-01 Juan M. Z. Pretel , Sergio E. Jorás , Ribamar R. R. Reis

A brief introduction on the issue of stability in generalized modified gravity is presented and the dynamical system methods are used in the investigation of the stability of spatially flat homogeneous cosmologies within a large class of…

广义相对论与量子宇宙学 · 物理学 2008-11-18 Guido Cognola , Sergio Zerbini

Motivated by a recent work of us [1], we reconstruct the different f(T)-gravity models corresponding to a set of dark energy scenarios containing the polytropic, the standard Chaplygin, the generalized Chaplygin and the modified Chaplygin…

综合物理 · 物理学 2012-08-01 K. Karami , A. Abdolmaleki

In this paper, we study the dynamical behaviour of the Universe in the $F(R,G)$ theory of gravity, where $R$ and $G$ respectively denote the Ricci scalar and Gauss-Bonnet invariant. Our wide analysis encompasses the energy conditions,…

广义相对论与量子宇宙学 · 物理学 2022-04-22 Santosh V. Lohakare , S. K. Tripathy , B. Mishra

The standard paradigm of cosmology assumes General Relativity (GR) is a valid theory for gravity at scales in which it has not been properly tested. Developing novel tests of GR and its alternatives is crucial if we want to give strength to…

宇宙学与河外天体物理 · 物理学 2021-03-22 Claudio Llinares

General relativity is highly successful in explaining a wide range of gravitational phenomena including the gravitational waves emitted by binary systems and the shadows cast by supermassive black holes. From a modern perspective the theory…

广义相对论与量子宇宙学 · 物理学 2024-07-26 Jesse Daas , Cristobal Laporte , Frank Saueressig , Tim van Dijk

We reconstruct the geometrical $f(T)$ actions in the framework of unimodular $f(T)$ gravity. The unimodular $f(T)$ gravity yields stunning properties related to the generalized Friedmann equations. Indeed, it has been found that depending…

广义相对论与量子宇宙学 · 物理学 2017-01-03 S. B. Nassur , C. Ainamon , M. J. S. Houndjo , J. Tossa

The $f(R)$ gravity can be cast into the form of a scalar-tensor theory, and scalar degree of freedom can be suppressed in high-density regions by the chameleon mechanism. In this article, for the general $f(R)$ gravity, using a…

宇宙学与河外天体物理 · 物理学 2018-01-04 Tan Liu , Xing Zhang , Wen Zhao

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…

天体物理学 · 物理学 2009-06-23 Yong-Seon Song , Kazuya Koyama

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 develop the general scheme for modified $f(R)$ gravity reconstruction from any realistic FRW cosmology. We formulate several versions of modified gravity compatible with Solar System tests where the following sequence of cosmological…

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

In this short paper we outline a recipe for the reconstruction of $F(R)$ gravity starting from single field inflationary potentials in the Einstein frame. For simple potentials one can compute the explicit form of $F(R)$, whilst for more…

广义相对论与量子宇宙学 · 物理学 2017-11-01 Gaurav Narain

In this paper, we have performed the dynamical system analysis of $f(T)$ gravity cosmological models at both background and perturbation levels. We have presented three models pertaining to three distinct functional forms of $f(T)$. The…

广义相对论与量子宇宙学 · 物理学 2024-03-20 L. K. Duchaniya , Kanika Gandhi , B. Mishra