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A viable radiation dominated era in the early universe is best described by the standard (FLRW) model of cosmology. In this short review, we demonstrate reconstruction of the forms of F(R) in the modified theory of gravity and the metric…

广义相对论与量子宇宙学 · 物理学 2024-01-23 Dalia Saha , Manas Chakrabortty , Abhik Kumar Sanyal

$f(R)$-Gravity, a simple generalization of Einstein's General theory of Relativity has been considered in the context of Cosmology as one of the approaches to explain phenomena such as early-time inflation and late-time accelerated…

广义相对论与量子宇宙学 · 物理学 2026-01-06 Gahan Chattopadhyay , Soumitra Sengupta

Certain off-diagonal vacuum and nonvacuum configurations in Einstein gravity can mimic physical effects of modified gravitational theories of $ f(R,T,R_{\mu\nu}T^{\mu\nu})$ type. We prove this statement by constructing exact and approximate…

数学物理 · 物理学 2015-06-30 Emilio Elizalde , Sergiu I. Vacaru

This paper is devoted to investigate $f(R)$ gravity using Noether symmetry approach. For this purpose, we consider Friedmann Robertson-Walker (FRW) universe and spherically symmetric spacetimes. The Noether symmetry generators are evaluated…

广义相对论与量子宇宙学 · 物理学 2012-08-03 M. Farasat Shamir , Adil Jhangeer , Akhlaq Ahmad Bhatti

Modifications to gravity that add additional functions of the Ricci curvature to the Einstein-Hilbert action -- collectively known as $f(R)$ theories -- have been studied in great detail. When considered as complete theories of gravity they…

天体物理学 · 物理学 2009-02-20 Simon DeDeo , Dimitrios Psaltis

We study modifications of general relativity, GR, with nonlinear dispersion relations which can be geometrized on tangent Lorentz bundles. Such modified gravity theories, MGTs, can be modeled by gravitational Lagrange density functionals…

综合物理 · 物理学 2017-06-13 Panayiotis Stavrinos , Olivia Vacaru , Sergiu I. Vacaru

Einstein's General Relativity (GR) is possibly one of the greatest intellectual achievements ever conceived by the human mind. In fact, over the last century, GR has proven to be an extremely successful theory, with a well established…

广义相对论与量子宇宙学 · 物理学 2020-10-28 Tiberiu Harko , Francisco S. N. Lobo

In this paper, the hybrid metric-Palatini gravity is an approach to modified gravity in which is added to the usual Einstein-Hilbert action a supplementary term containing a Palatini-type correction of the form $f({\cal R},T)$. Here, ${\cal…

广义相对论与量子宇宙学 · 物理学 2022-03-30 J. S. Gonçalves , A. F. Santos

In the present article we analyze the matter-geometry coupled $f(Q,T)$ theory of gravity. We offer the fully covariant formulation of the theory, with which we construct the correct energy balance equation and employ it to conduct a…

广义相对论与量子宇宙学 · 物理学 2023-03-30 Tee-How Loo , Raja Solanki , Avik De , P. K. Sahoo

We study the non-perturbative renormalization group flow of f(R)-gravity in three-dimensional Asymptotically Safe Quantum Einstein Gravity. Within the conformally reduced approximation, we derive an exact partial differential equation…

高能物理 - 理论 · 物理学 2013-02-07 Maximilian Demmel , Frank Saueressig , Omar Zanusso

Motivated by recent evidence indicating that Quantum Einstein Gravity (QEG) might be nonperturbatively renormalizable, the exact renormalization group equation of QEG is evaluated in a truncation of theory space which generalizes the…

高能物理 - 理论 · 物理学 2008-11-26 O. Lauscher , M. Reuter

We consider the cosmological implications of a four-dimensional extension of the Gauss-Bonnet $f(G)$ gravity, where $G$ is the Gauss-Bonnet topological invariant, in which the Einstein-Hilbert action is replaced by an arbitrary function…

广义相对论与量子宇宙学 · 物理学 2025-06-23 Ratul Mandal , Himanshu Chaudhary , Tiberiu Harko , Ujjal Debnath , G. Mustafa

The idea of Verlinde that gravity is an entropic force caused by information changes associated with the positions of material bodies, is used in the present work for the FRW model of the Universe. Using modified Hawking temperature, the…

广义相对论与量子宇宙学 · 物理学 2016-10-31 Saugata Mitra , Subhajit Saha , Subenoy Chakraborty

We investigate the energy of a theory with a unit vector field (the "aether") coupled to gravity. Both the Weinberg and Einstein type energy-momentum pseudotensors are employed. In the linearized theory we find expressions for the energy…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Christopher Eling

In this work we study rescaled effective single scalar field theories, and we confront these with the ACT constraint on the spectral index of the scalar primordial perturbations and the updated BICEP/Planck constraint on the…

广义相对论与量子宇宙学 · 物理学 2026-01-13 V. K. Oikonomou , Eleni I. Manouri , Georgios Konstantellos

Bekenstein's theory of relativistic gravity is conventionally written as a bi-metric theory. The two metrics are related by a disformal transformation defined by a dynamical vector field and a scalar field. In this comment we show that the…

广义相对论与量子宇宙学 · 物理学 2014-02-18 T. G. Zlosnik , P. G. Ferreira , Glenn D. Starkman

Recently, a new strategy to the reconstruction of $f(R)$-gravity models based on the Raychaudhuri equation has been suggested by Choudhury et al. In this paper, utilizing this method, the reconstruction of anisotropic Einstein-Maxwell…

广义相对论与量子宇宙学 · 物理学 2020-06-24 Behzad Tajahmad

A new conception is proposed in Ref.\cite{Verlinde:2010hp,Padmanabhan:2009kr} that gravity is one kind of entropic force. In this letter, we try to discuss its applications to the modified gravities by using three different corrections to…

高能物理 - 理论 · 物理学 2011-08-05 Yi Zhang , Yun-gui Gong , Zong-Hong Zhu

We investigate alternative candidates to dark energy that can explain the current state of the universe in the framework of the generalized teleparallel theory of gravity $f(T)$ where $T$ denotes the torsion scalar. To achieve this, we…

综合物理 · 物理学 2020-08-26 A. E. Godonou , Ines G. Salako , M. J. S. Houndjo , Etienne Baffou , Joel Tossa

A modified f(G) gravity model with coupling between matter and geometry is proposed, which is described by the product of the Lagrange density of the matter and an arbitrary function of the Gauss-Bonnet term. The field equations and the…

宇宙学与河外天体物理 · 物理学 2015-06-04 Yue-Yue Zhao , Ya-Bo Wu , Jianbo Lu , Zhuo Zhang , Wei-Li Han , Liang-Liang Ling