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In this study, we first establish that gravity models incorporating matter-related terms, such as $f(\mathcal{L}_{\rm m})$, $f(g_{\mu\nu} T^{\mu\nu})$, and $f(T_{\mu\nu} T^{\mu\nu})$, into the usual matter Lagrangian density…

广义相对论与量子宇宙学 · 物理学 2024-04-12 Özgür Akarsu , Mariam Bouhmadi-López , Nihan Katırcı , Elham Nazari , Mahmood Roshan , N. Merve Uzun

We study the scalar-tensor theory of gravity profoundly in the action level as well as in the thermodynamic level. Contrary to the usual description in the literature about the equivalence in the two conformally connected frames, this paper…

广义相对论与量子宇宙学 · 物理学 2017-05-19 Krishnakanta Bhattacharya , Bibhas Ranjan Majhi

The "Universality Theorem" for gravity shows that f(R) theories (in their metric-affine formulation) in vacuum are dynamically equivalent to vacuum Einstein equations with suitable cosmological constants. This holds true for a generic (i.e.…

广义相对论与量子宇宙学 · 物理学 2014-11-20 L. Fatibene , M. Ferraris , M. Francaviglia

In this work, I present for the first time the analysis concerning the growth of matter fluctuations in the framework of $f(R,T)$ modified gravity where I presume $f(R,T) = R + \lambda T$, where $R$ denote the Ricci scalar, $T$ the trace of…

广义相对论与量子宇宙学 · 物理学 2020-11-06 Snehasish Bhattacharjee

We present a novel theory of gravity by considering an extension of symmetric teleparallel gravity. This is done by introducing, in the framework of the metric-affine formalism, a new class of theories where the nonmetricity $Q$ is…

广义相对论与量子宇宙学 · 物理学 2018-10-31 Tiberiu Harko , Tomi S. Koivisto , Francisco S. N. Lobo , Gonzalo J. Olmo , Diego Rubiera-Garcia

From a previous paper where we proposed a description of general relativity within the gravito-electromagnetic limit, we propose an alternative modified gravitational theory. As in the former version, we analyze the vector and tensor…

广义相对论与量子宇宙学 · 物理学 2022-05-03 Sergio Giardino

The field equations of $f(R,\mathcal{G})$ gravity are rewritten in the form of obvious wave equations with the stress-energy pseudotensor of the matter fields and the gravitational field, as their sources, under the de Donder condition. The…

广义相对论与量子宇宙学 · 物理学 2019-12-04 Bofeng Wu , Chao-Guang Huang

General relativity (GR) admits two alternative formulations with the same dynamics attributing the gravitational phenomena to torsion or nonmetricity of the manifold's connection. They lead, respectively, to the teleparallel equivalent of…

广义相对论与量子宇宙学 · 物理学 2026-03-16 Maria-Jose Guzman

It is well-known that $f(R)$ theories are dynamically equivalent to a particular class of scalar-tensor theories. In analogy to the $f(R)$ extension of the Einstein-Hilbert action of general relativity, $f(T)$ theories are generalizations…

广义相对论与量子宇宙学 · 物理学 2011-03-18 Rong-Jia Yang

The Dolgov-Kawasaki instability discovered in the matter sector of the modified gravity scenario incorporating a 1/R correction to Einstein gravity is studied in general f(R) theories. A stability condition is found in the metric version of…

天体物理学 · 物理学 2008-11-26 Valerio Faraoni

Modified gravity is one of the most favorable candidates for explaining the current accelerating expansion of the Universe. In this regard, we study the viability of an alternative gravitational theory, namely $f(R,G)$, by imposing energy…

广义相对论与量子宇宙学 · 物理学 2014-01-30 K. Atazadeh , F. Darabi

In this article, we explore the comprehensive narrative of cosmic evolution within a cosmological framework by utilizing a novel form of gravity known as generalized symmetric teleparallel gravity, denoted as $f(Q,T)$ gravity. Here, $Q$…

综合物理 · 物理学 2024-09-10 Surajit Das , Sanjay Mandal

f(R)-type gravity in the first order formalism is interpreted as Einstein gravity with non-minimal coupling arising from the use of unphysical frame. Identification of the corresponding second order higher-curvature gravity in the physical…

广义相对论与量子宇宙学 · 物理学 2010-11-11 Y. Ezawa , H. Iwasaki , Y. Ohkuwa , T. Uegaki , N. Yamada , T. Yano

The present work is to introduce a new kind of modified gravitational theory, named as $f(\mathcal{R,G,T})$ (also $f(\mathcal{R,T,G})$) gravity, where $\mathcal{R}$ is the Ricci scalar, $\mathcal{G}$ is Gauss-Bonnet invariant and…

广义相对论与量子宇宙学 · 物理学 2021-11-16 M. Ilyas

The initial value problem of metric and Palatini f(R)gravity is studied by using the dynamical equivalence between these theories and Brans-Dicke gravity. The Cauchy problem is well-formulated for metric f(R)gravity in the presence of…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Nicolas Lanahan-Tremblay , Valerio Faraoni

The way one chooses to couple gravity to matter is an essential characteristic of any gravitational theory. In theories where the gravitational field is allowed to have more degrees of freedom than those of General Relativity (e.g.…

广义相对论与量子宇宙学 · 物理学 2009-02-26 Thomas P. Sotiriou

Hamiltonian perturbation theory is used to analyse the stability of f(R) models. The Hamiltonian equations for the metric and its momentum conjugate are written for f(R) Lagrangian in the presence of perfect fluid matter. The perturbations…

广义相对论与量子宇宙学 · 物理学 2010-04-29 Tuomas Multamäki , Jaakko Vainio , Iiro Vilja

We derive the full N=2 supergravity Lagrangian which contains a symplectic invariant scalar potential in terms of electric and magnetic charges. As shown in reference [1], the appearance of magnetic charges is allowed only if tensor…

高能物理 - 理论 · 物理学 2008-11-26 Riccardo D'Auria , Luca Sommovigo , Silvia Vaula

Recently, the scalar-tensor representation of $f (R,T)$ gravity was used to explore gravitationally induced particle production/annihilation. Using the framework of irreversible thermodynamics of open systems in the presence of matter…

广义相对论与量子宇宙学 · 物理学 2023-10-20 Amine Bouali , Himanshu Chaudhary , Tiberiu Harko , Francisco S. N. Lobo , Taoufik Ouali , Miguel A. S. Pinto

We consider two distinct limits of General Relativity that in contrast to the standard non-relativistic limit can be taken at the level of the Einstein-Hilbert action instead of the equations of motion. One is a non-relativistic limit and…

高能物理 - 理论 · 物理学 2017-04-26 Eric Bergshoeff , Joaquim Gomis , Blaise Rollier , Jan Rosseel , Tonnis ter Veldhuis
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