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The aim of this paper is to introduce a new modified gravity theory named as $f(\mathcal{G},T)$ gravity ($\mathcal{G}$ and $T$ are the Gauss-Bonnet invariant and trace of the energy-momentum tensor, respectively) and investigate energy…

广义相对论与量子宇宙学 · 物理学 2016-12-21 M. Sharif , Ayesha Ikram

Starting from the original Einstein action, sometimes called the Gamma squared action, we propose a new setup to formulate modified theories of gravity. This can yield a theory with second order field equations similar to those found in…

广义相对论与量子宇宙学 · 物理学 2021-07-14 Christian G. Boehmer , Erik Jensko

The new model of modified $F(R)$ gravity theory with the function $F(R) = R+(a/\gamma) \arcsin(\gamma R)$ is suggested and investigated. Constant curvature solutions corresponding to the extremum of the effective potential are obtained. We…

综合物理 · 物理学 2015-07-20 S. I. Kruglov

In the present work we introduce a novel approach to study $f({\sf R},{\sf T})$ gravity theory from a different perspective. Here, ${\sf T}$ denotes the trace of energy-momentum tensor ({\sf EMT}) of matter fluids. The usual method (as…

广义相对论与量子宇宙学 · 物理学 2018-03-23 Hamid Shabani , Amir Hadi Ziaie

Einstein's theory of general relativity describes gravity as the interaction of particles with space-time geometry, as opposed to interacting with a physical fluid, as in the old gravitational aether theories. Moreover, any theoretical…

科普物理 · 物理学 2010-04-19 Niayesh Afshordi

`Einstein-Aether' theory, in which gravity couples to a dynamical, time-like, unit-norm vector field, provides a means for studying Lorentz violation in a generally covariant setting. Demonstrated here is the effect of a redefinition of the…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Brendan Z. Foster

Gravitation might make a preferred frame appear, and with it a clear space/time separation--the latter being, a priori, needed by quantum mechanics (QM) in curved space-time. Several models of gravitation with an ether are discussed: they…

广义相对论与量子宇宙学 · 物理学 2008-04-07 Mayeul Arminjon

Birkhoff's theorem is discussed in the frame of f(R) gravity by using its scalar-tensor representation. Modified gravity has become very popular at recent times as it is able to reproduce the unification of inflation and late-time…

广义相对论与量子宇宙学 · 物理学 2015-05-28 Salvatore Capozziello , Diego Sáez-Gómez

We analyze the isothermal property in static fluid spheres within the framework of the modified $f(R, T)$ theory of gravitation. The equation of pressure isotropy of the standard Einstein theory is preserved however, the energy density and…

广义相对论与量子宇宙学 · 物理学 2018-09-26 Sudan Hansraj

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. To prove this statement, exact and approximate solutions are…

广义相对论与量子宇宙学 · 物理学 2015-07-01 Emilio Elizalde , Sergiu I. Vacaru

Modified gravity theories have received increased attention lately due to combined motivation coming from high-energy physics, cosmology and astrophysics. Among numerous alternatives to Einstein's theory of gravity, theories which include…

广义相对论与量子宇宙学 · 物理学 2014-11-18 Thomas P. Sotiriou , Valerio Faraoni

We show that the Einstein-aether theory of Jacobson and Mattingly (J&M) can be understood in the framework of the metric-affine (gauge theory of) gravity (MAG). We achieve this by relating the aether vector field of J&M to certain…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Christian Heinicke , Peter Baekler , Friedrich W. Hehl

In this paper, we show how a power-law correction to the Einstein-Hilbert action provides a viable modified theory of gravity, passing the Solar-System tests, when the exponent is between the values 2 and 3. Then, we implement this paradigm…

广义相对论与量子宇宙学 · 物理学 2015-05-19 Nakia Carlevaro , Giovanni Montani , Massimiliano Lattanzi

Here, we peruse cosmological usage of the most promising candidates of dark energy in the framework of f(R) theory. We reconstruct the different f(R) modified gravity models in the spatially flat FRW universe according to the ordinary and…

广义相对论与量子宇宙学 · 物理学 2011-07-18 K. Karami , M. S. Khaledian

A novel theory of $F(R)$ gravity with the Lagrangian density ${\cal L}=[R-(b/\beta)\arctan\left(\beta R\right)]/(2\kappa^2)$ is analyzed. Constant curvature solutions of the model are found, and the potential of the scalar field and the…

广义相对论与量子宇宙学 · 物理学 2014-03-07 S. I. Kruglov

We explore the recently introduced modified Gauss-Bonnet gravity [1], $f(\mathcal{G},T)$ pragmatic with $\mathcal{G}$, the Gauss-Bonnet term, and ${T}$, the trace of the energy-momentum tensor. Noether symmetry approach has been used to…

综合物理 · 物理学 2017-01-31 M. Farasat Shamir , Mushtaq Ahmad

We consider a Lorentz-violating theory of gravity where the aether vector is taken to be nondynamical. This "ponderable aether theory" is almost the same as Einstein-aether theory (where the aether vector is dynamical), but involves…

广义相对论与量子宇宙学 · 物理学 2015-08-19 Antony J. Speranza

This work presents a universal and revisited formalism for the entropy of the apparent horizon in modified gravity to investigate the validity of the Generalized Second Law (GSL) of thermodynamics. This revisited horizon entropy is…

广义相对论与量子宇宙学 · 物理学 2025-12-22 Soma Heydari , Parastoo Askari , Kayoomars Karami

We construct a novel Wetterich-type functional renormalization group equation for gravity which encodes the gravitational degrees of freedom in terms of gauge-invariant fluctuation fields. Applying a linear-geometric approximation the…

高能物理 - 理论 · 物理学 2015-04-30 Maximilian Demmel , Frank Saueressig , Omar Zanusso

We investigate the modified $F(R)$ gravity theory with the function $F(R) = (1-\sqrt{1-2\lambda R-\sigma (\lambda R)^2})/\lambda$. The action is converted into Einstein$-$Hilbert action at small values of $\lambda$ and $\sigma$. The local…

广义相对论与量子宇宙学 · 物理学 2016-03-23 S. I. Kruglov