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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

In this work we present a few simple cosmological models under the modified theory of gravity in the particular form of $f(R,\mathcal{T})=R+2f(\mathcal{T})$, where $R$ is the Ricci Scalar and $\mathcal{T}$ is the trace of the…

广义相对论与量子宇宙学 · 物理学 2021-06-14 B. Mishra , S. K. Tripathy , Saibal Ray

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

The $f(R,T)$ gravity is an extended theory of gravity in which the gravitational action contains general terms of both the Ricci scalar $R$ and trace of the energy-momentum tensor $T$. In this way, $f(R,T)$ models are capable of describing…

广义相对论与量子宇宙学 · 物理学 2017-07-20 P. H. R. S. Moraes , P. K. Sahoo

An accelerated expansion phase is being experienced by the universe due to the presence of an unknown energy component known as dark energy (DE). To find out the cosmic evolution scientists ever tried to modify Einstein's gravitational…

综合物理 · 物理学 2018-11-14 M. Zubair , M. Zeeshan

In this paper, we present the cosmological scenario obtained from $f(R,T)$ gravity by using an exponential dependence on the trace of the energy-momentum tensor. With a numerical approach applied to the equations of motion, we show several…

广义相对论与量子宇宙学 · 物理学 2019-11-11 G. Ribeiro , R. Sfair , P. H. R. S. Moraes , J. R. L. Santos , A. de Souza Dutra

We propose a new theoretical approach for a cosmological model, which starts from an exponential of the trace of the energy-momentum tensor-dependence on the gravitational action, to be summed to the Ricci scalar. We derive the referred…

广义相对论与量子宇宙学 · 物理学 2020-04-08 P. H. R. S. Moraes , P. K. Sahoo , S. K. J. Pacif

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 consider modified theories of gravity with a direct coupling between matter and geometry, denoted by an arbitrary function in terms of the Ricci scalar. Due to such a coupling, the matter stress tensor is no longer conserved and there is…

广义相对论与量子宇宙学 · 物理学 2015-06-05 Yousef Bisabr

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

I propose an alternative $f(R)$ theory of gravity constructed by applying the function $f$ directly to the Ricci tensor instead of the Ricci scalar. The main goal of this study is to derive the resulting modified Einstein equations for the…

广义相对论与量子宇宙学 · 物理学 2017-08-16 Tomasz Stachowiak

Our focus is on a specific type-N space-time that exhibits closed time-like curves in general relativity theory within the framework of Ricci-inverse gravity model. The matter-energy content is solely composed of a pure radiation field, and…

广义相对论与量子宇宙学 · 物理学 2023-12-27 F. Ahmed , J. C. R. de Souza , A. F. Santos

The study addresses matter-coupled modified gravity, particularly $f (T, \mathcal{T})$ gravity, unveiling distinct formalism. The research further discusses stability analysis, and the dynamical system approach, exploring the dynamics of…

广义相对论与量子宇宙学 · 物理学 2023-12-22 L. K. Duchaniya , Santosh V Lohakare , B. Mishra

A new class of cosmological models in $f(R, T)$ modified theories of gravity proposed by Harko et al. (2011), where the gravitational Lagrangian is given by an arbitrary function of Ricci scalar $R$ and the trace of the stress-energy tensor…

综合物理 · 物理学 2014-07-15 Nasr Ahmed , Anirudh Pradhan

We conduct a thorough examination of cosmological parameters within the context of $f(R)$ gravity coupled with neutrinos, leveraging a diverse array of observational datasets, including Cosmic Microwave Background (CMB), Cosmic Chronometers…

宇宙学与河外天体物理 · 物理学 2025-01-14 Muhammad Yarahmadi , Amin Salehi , Kazuharu Bamba , Hosein Farajollahi

We present an extension of $f(T)$ gravity, allowing for a general coupling of the torsion scalar $T$ with the trace of the matter energy-momentum tensor $\mathcal{T}$. The resulting $f(T,\mathcal{T})$ theory is a new modified gravity, since…

广义相对论与量子宇宙学 · 物理学 2014-12-12 Tiberiu Harko , Francisco S. N. Lobo , G. Otalora , Emmanuel N. Saridakis

We discuss the consistency of a recently proposed class of theories described by an arbitrary function of the Ricci scalar, the trace of the energy-momentum tensor and the contraction of the Ricci tensor with the energy-momentum tensor. We…

高能物理 - 理论 · 物理学 2015-05-15 Ismael Ayuso , Jose Beltran Jimenez , Alvaro de la Cruz Dombriz

We examine the evolution of universe in $f(R,T)$ gravity where $R$ is the Ricci curvature and $T$ is the trace of energy momentum tensor. We focus on the specific form $f(R,T) = R+f(T)$ and explicitly find out the relation between $f(T)$…

广义相对论与量子宇宙学 · 物理学 2016-03-16 Gang Sun , Yong-Chang Huang

We intend to study a new class of cosmological models in $f(R, T)$ modified theories of gravity, hence define the cosmological constant $\Lambda$ as a function of the trace of the stress energy-momentum-tensor $T$ and the Ricci scalar $R$,…

综合物理 · 物理学 2020-03-26 Safiqul Islam , Praveen Kumar , G. S. Khadekar , Tapas K Das

We consider a gravitational model in which matter is non-minimally coupled to geometry, with the effective Lagrangian of the gravitational field being given by an arbitrary function of the Ricci scalar, the trace of the matter…

广义相对论与量子宇宙学 · 物理学 2024-11-18 Zahra Haghani , Tiberiu Harko , Francisco S. N. Lobo , Hamid Reza Sepangi , Shahab Shahidi
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