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The recently proposed theory of "Asymptotically Free Mimetic Gravity" is extended to the general non-homogeneous, spatially non-flat case. We present a modified theory of gravity which is free of higher derivatives of the metric. In this…

高能物理 - 理论 · 物理学 2020-08-05 Ali H. Chamseddine , Viatcheslav Mukhanov , Tobias B. Russ

Cosmological models based on f(R)-gravity may exhibit a natural acceleration mechanism without introducing a dark energy component. In this paper, we investigate cosmological consequences of the so-called Hu-Sawicki f(R)-gravity in the…

宇宙学与河外天体物理 · 物理学 2012-12-13 B. Santos , M. Campista , J. Santos , J. S. Alcaniz

We show that f(R)-gravity can, in general, give rise to cosmological viable models compatible with a matter-dominated epoch evolving into a late accelerated phase. We discuss the various representations of f(R)-gravity as an ideal fluid or…

天体物理学 · 物理学 2008-11-26 S. Capozziello , S. Nojiri , S. D. Odintsov , A. Troisi

We propose a covariant ghost-free unimodular $F(R)$ gravity theory, which contains a three-form field and study its structure using the analogy of the proposed theory with a quantum system which describes a charged particle in uniform…

广义相对论与量子宇宙学 · 物理学 2016-09-28 S. Nojiri , S. D. Odintsov , V. K. Oikonomou

Accelerating cosmological models are constructed in a modified gravity theory dubbed as $f(R,T)$ gravity at the backdrop of an anisotropic Bianchi type-III universe. $f(R,T)$ is a function of the Ricci scalar $R$ and the trace $T$ of the…

广义相对论与量子宇宙学 · 物理学 2017-06-21 S K Sahu , S K Tripathy , P K Sahoo , A Nath

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

Recently, corrections to the standard Einstein-Hilbert action are proposed to explain the current cosmic acceleration in stead of introducing dark energy. We discuss the Palatini formulation of the modified gravity with a $\ln R$ term…

高能物理 - 理论 · 物理学 2009-11-10 Xin-He Meng , Peng Wang

We construct four-dimensional covariant non-linear theories of massive gravity which are ghost-free in the decoupling limit to all orders. These theories resum explicitly all the nonlinear terms of an effective field theory of massive…

高能物理 - 理论 · 物理学 2011-07-25 Claudia de Rham , Gregory Gabadadze , Andrew J. Tolley

Among many alternative gravitational theories to General Relativity (GR), $f(R,T)$ gravity (where $R$ is the Ricci scalar and $T$ the trace of the energy-momentum tensor) has been widely studied recently. By adding a matter contribution to…

广义相对论与量子宇宙学 · 物理学 2017-07-05 Hermano Velten , Thiago R. P. Caramês

We construct a fully covariant theory of massive gravity which does not require the introduction of an external reference metric, and overcomes the usual problems of massive gravity theories (fatal ghosts instabilities, acausality and/or…

高能物理 - 理论 · 物理学 2015-06-15 Maud Jaccard , Michele Maggiore , Ermis Mitsou

We discuss recent results on the cosmology of extended theories of gravity formulated in the Palatini approach, i.e., assuming that metric and connection are independent fields. In particular, we focus on the attempts to explain the cosmic…

广义相对论与量子宇宙学 · 物理学 2012-07-23 Gonzalo J. Olmo

We confront the ghost-free non-local $F(R)$ gravity theories with the latest Atacama Cosmology Telescope (ACT) constraints on the spectral index of the scalar perturbations and the updated constraints of Planck/BICEP on the tensor-to-scalar…

广义相对论与量子宇宙学 · 物理学 2026-02-25 Shin'ichi Nojiri , S. D. Odintsov , V. K. Oikonomou

This note is devoted to the Hamiltonian analysis of extension of quasidilaton massive gravity as was proposed recently in [arXiv:1306.5502]. We show that for given formulation of the theory the additional primary constraint that is…

高能物理 - 理论 · 物理学 2013-09-16 J. Kluson

One of the most favourable extensions of General Relativity is the $f(R)$ gravity. $f(R)$ gravity in Palatini formalism can be a realistic alternative to the dark energy problem. In this work we study a recently introduced dark energy…

广义相对论与量子宇宙学 · 物理学 2022-05-20 Dhruba Jyoti Gogoi , Umananda Dev Goswami

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

In this paper, we propose two new models in $f(T)$ gravity to realize universe acceleration and phantom crossing due to dark torsion in the formalism. The model parameters are constrained and the observational test are discussed. The best…

综合物理 · 物理学 2015-06-03 H. Farajollahi , A. Ravanpak , P. Wu

We review the state of the art of f(R) theories of gravity (in their various formulations), which have been proposed as an explanation of the cosmic acceleration alternative to dark energy. The successes of f(R) gravity are discussed,…

广义相对论与量子宇宙学 · 物理学 2008-10-16 Valerio Faraoni

In this manuscript we will present the theoretical framework of the recently proposed infinite derivative theory of gravity with a non-symmetric connection. We will explicitly derive the field equations at the linear level and obtain new…

广义相对论与量子宇宙学 · 物理学 2019-11-21 Álvaro de la Cruz-Dombriz , Francisco José Maldonado Torralba , Anupam Mazumdar

In this paper, we investigate and analyze the cosmological dynamics of the universe, with an effect of modified $f(R)$ gravity emerging at cosmological scale. We choose the Einstein frame as a physical frame. We consider phase portraits of…

天体物理学 · 物理学 2007-05-23 Daris Samart

For higher-derivative f(R) gravity where R is the Ricci scalar, a class of models is proposed which produce viable cosmology different from the LambdaCDM one at recent times and satisfy cosmological, Solar system and laboratory tests. These…

天体物理学 · 物理学 2009-07-09 Alexei A. Starobinsky