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We investigate the f(R) theory of gravity with broken diffeomorphism due to the change of the coefficient in front of the total divergence term in the (3+1)-decomposition of the scalar curvature. We perform the canonical analysis of this…

广义相对论与量子宇宙学 · 物理学 2016-05-18 M. Chaichian , A. Ghalee , J. Kluson

Here in this work we propose a modified gravity with the action of $f(R) = \sqrt{R^2 - R_0^2}$ instead of Einstein-Hilbert action to describe the late time acceleration of the universe. We obtain the equation of the modified gravity both in…

天体物理学 · 物理学 2008-11-26 Shant Baghram , Marzieh Farhang , Sohrab Rahvar

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

Cosmography can be considered as a sort of a model-independent approach to tackle the dark energy/modified gravity problem. In this review, the success and the shortcomings of the $\Lambda$CDM model, based on General Relativity and standard…

广义相对论与量子宇宙学 · 物理学 2019-04-09 Salvatore Capozziello , Rocco D'Agostino , Orlando Luongo

We investigate anisotropic cosmological solutions of the theory with non-minimal couplings between electromagnetic fields and gravity in $Y(R) F^2$ form. After we derive the field equations by the variational principle, we look for…

广义相对论与量子宇宙学 · 物理学 2019-08-01 Özcan Sert , Muzaffer Adak

An extension of unimodular Einsteinian gravity in the context of $F(R)$ gravities is used to construct a class of anisotropic evolution scenarios. In unimodular GR the determinant of the metric is constrained to be a fixed number or a…

广义相对论与量子宇宙学 · 物理学 2022-12-28 A. Costantini , E. Elizalde

We show that the effective brane-world and the loop quantum cosmology background expansion histories can be reproduced from a modified gravity perspective in terms of an $f(R)$ gravity action plus a $g(R)$ term non-minimally coupled with…

高能物理 - 理论 · 物理学 2015-12-09 Gonzalo J. Olmo , D. Rubiera-Garcia

In this work we study the cosmology of the general f(T) gravity theory. We express the modified Einstein equations using covariant quantities, and derive the gauge-invariant perturbation equations in covariant form. We consider a specific…

宇宙学与河外天体物理 · 物理学 2011-11-02 Baojiu Li , Thomas P. Sotiriou , John D. Barrow

We reconstruct an explicit model of modified gravity in which a crossing of the phantom divide can be realized. It is shown that the (finite-time) Big Rip singularity appears in the model of modified gravity (i.e., in the so-called Jordan…

高能物理 - 理论 · 物理学 2013-05-29 Kazuharu Bamba , Chao-Qiang Geng , Shin'ichi Nojiri , Sergei D. Odintsov

The paper deals with cosmology in modified f(T) gravity theory. With some phenomenological choices for the function f(T) it is possible to have cosmological solutions describing different phases of the evolution of the Universe for the…

广义相对论与量子宇宙学 · 物理学 2020-11-03 Akash Bose , Subenoy Chakraborty

We provide an $F(R)$ gravity description of a $\Lambda$CDM bouncing model, without the need for matter fluids or for cosmological constant. As we explicitly demonstrate, the two cosmological eras that constitute the $\Lambda$CDM bouncing…

广义相对论与量子宇宙学 · 物理学 2015-06-23 S. D. Odintsov , V. K. Oikonomou

The Little Sibling of the Big Rip is a cosmological abrupt event predicted by some phantom cosmological models that could describe our Universe. When this event is approached the observable Universe and its expansion rate grow infinitely,…

广义相对论与量子宇宙学 · 物理学 2019-10-16 Teodor Borislavov Vasilev , Mariam Bouhmadi-López , Prado Martín-Moruno

We analyze from a classical and quantum point of view the behavior of the universe close to a little rip, which can be interpreted as a big rip sent towards the infinite future. Like a big rip singularity, a little rip implies the…

广义相对论与量子宇宙学 · 物理学 2016-10-05 Imanol Albarran , Mariam Bouhmadi-López , Claus Kiefer , João Marto , Paulo Vargas Moniz

This paper is devoted to explore modified $f(\mathcal{R})$ theories of gravity using Noether symmetry approach. For this purpose, Friedmann-Robertson-Walker spacetime is chosen to investigate the cosmic evolution. The study is mainly…

广义相对论与量子宇宙学 · 物理学 2020-02-21 M. Farasat Shamir

The review of basic cosmological properties of four-dimensional F(R)-gravity, including FRW equations of motion and its accelerating solutions, generalized fluid and scalar-tensor representation of the theory is done. Cosmological…

高能物理 - 理论 · 物理学 2015-05-19 Shin'ichi Nojiri , Sergei D. Odintsov

This introductory review is addressed to beginning researchers. Some of the distinguishing features of loop quantum gravity are illustrated through loop quantum cosmology of FRW models. In particular, these examples illustrate: i) how…

广义相对论与量子宇宙学 · 物理学 2010-11-11 Abhay Ashtekar

Spherically symmetric solutions in F(R) theories in astronomical systems with rising energy density are studied. The range of parameters is established for which the flat space-time approximation for the background metric is valid. For the…

广义相对论与量子宇宙学 · 物理学 2015-06-16 E. V. Arbuzova , A. D. Dolgov , L. Reverberi

We discuss the cosmology of recently proposed Horava-Lifshitz f(R) gravity. In particular, we derive the modified Hubble equation that reduces to the standard HL gravity case in appropriate limit. We show how the bounce solutions in this…

宇宙学与河外天体物理 · 物理学 2012-04-13 Sayan K. Chakrabarti , Koushik Dutta , Anjan A. Sen

We focus on weak inhomogeneous models of the Universe at low redshifts, described by the Lema\^itre-Tolman-Bondi (LTB) metric. The principal aim of this work is to compare the evolution of inhomogeneous perturbations in the $\Lambda$CDM…

宇宙学与河外天体物理 · 物理学 2023-04-20 Tiziano Schiavone , Giovanni Montani

The theoretical and observational consequences of thermodynamics of open systems, which allow particle creation are investigated in modified $f(R,T)$ ($R$ is the Ricci scalar and $T$ is the trace of energy-momentum tensor) theory of gravity…

广义相对论与量子宇宙学 · 物理学 2014-08-26 C. P. Singh , Vijay Singh