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In this study, we propose a reparameterization of a specific viable $f(R)$ gravity model to represent it as a perturbation of the $\Lambda$CDM model. The $f(R)$ gravity model under consideration includes two parameters, $b$ and $n$, which…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-18 A. Oliveros

Compact stars have long served as a test bed of gravitational models and their coupling with stellar matter. In this work, we explore the behavior of an exponential model in f(T) gravity through the Tolman-Oppenheimer-Volkoff equation. This…

General Relativity and Quantum Cosmology · Physics 2024-12-30 Gabriel Farrugia , Carlos Gafa' , Jackson Levi Said

Models of gravity with variable G and Lambda have acquired greater relevance after the recent evidence in favour of the Einstein theory being non-perturbatively renormalizable in the Weinberg sense. The present paper builds a modified…

High Energy Physics - Theory · Physics 2009-11-11 Alfio Bonanno , Giampiero Esposito , Claudio Rubano

Attempts to solve naturalness by having the weak scale as the only breaking of classical scale invariance have to deal with two severe difficulties: gravity and the absence of Landau poles. We show that solutions to the first problem…

High Energy Physics - Phenomenology · Physics 2015-06-23 Gian F. Giudice , Gino Isidori , Alberto Salvio , Alessandro Strumia

A proof of the relativistic $H$-theorem by including nonextensive effects is given. As it happens in the nonrelativistic limit, the molecular chaos hypothesis advanced by Boltzmann does not remain valid, and the second law of thermodynamics…

Statistical Mechanics · Physics 2009-11-11 R. Silva , J. A. S. Lima

Cartan $F(R)$ gravity introduces the equivalent scalar-tensor theory by extending the gravity sector. From the solution of the modified Cartan equation leads to the interaction with the scalar field and the fermion. We derived the effective…

General Relativity and Quantum Cosmology · Physics 2025-03-12 Hiroki Sakamoto , Masahiko Taniguchi

The field equations of $f(R)$ gravity are rewritten in the form of obvious wave equations with the stress-energy pseudotensor of the matter fields and the gravitational field as its source under the de Donder condition. The method of…

General Relativity and Quantum Cosmology · Physics 2019-07-24 Bofeng Wu , Chao-Guang Huang

Over the past decades, General Relativity and the concordance $\Lambda$CDM model have been successfully tested using several different astrophysical and cosmological probes based on large datasets ({\it precision cosmology}). Despite their…

General Relativity and Quantum Cosmology · Physics 2015-08-07 Ivan de Martino , Mariafelicia De Laurentis , Salvatore Capozziello

We propose a new model of f(R) gravity containing Arctan function in the lagrangian. We show here that this model satisfies fifth force constraint unlike a similar model in Kruglov 2013. In addition to this, we carry out the fixed point…

General Physics · Physics 2017-10-12 Akhilesh Nautiyal , Sukanta Panda , Avani Patel

The present paper reconsiders the Newtonian limit of models of modified gravity including higher order terms in the scalar curvature in the gravitational action. This was studied using the Palatini variational principle in [Meng X. and Wang…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thomas P. Sotiriou

We investigate whether the extra scalar degree of freedom that arises in the second connection class of scalar-tensor non-metricity gravity can accurately replicate and potentially enrich the cosmic expansion history. Focusing on a…

General Relativity and Quantum Cosmology · Physics 2025-10-13 Ghulam Murtaza , Avik De , Andronikos Paliathanasis , Tee-How Loo

This study systematically investigates the cosmological dynamics of two well-motivated functional forms in $f(T,B)$ gravity within a flat Friedmann-Lema\^{i}tre-Robertson-Walker (FLRW) universe. Here $T$ denotes the torsion scalar and $B$…

General Relativity and Quantum Cosmology · Physics 2026-02-16 Jianwen Liu , Fabao Gao , Aqeela Razzaq

In this work, two originally separate adjustments for the Friedmann equations are concurrently considered. Firstly, the fractal structure of the black hole horizon region is imposed by the Barrow entropy. The second adjustment is the…

General Relativity and Quantum Cosmology · Physics 2024-06-13 Tuhina Ghorui , Prabir Rudra , Farook Rahaman

Scalar fields with inverse power-law effective potentials may provide a negative pressure component to the energy density of the universe today, as required by cosmological observations. In order to be cosmologically relevant today, the…

High Energy Physics - Phenomenology · Physics 2016-09-06 Nicola Bartolo , Massimo Pietroni

We study the nonlinear effects of the clustering and smooth quintessence. We present numerical and also approximate semi-analytical expressions of nonlinear power spectrum both for clustering and smooth dark energy models beyond the Baryon…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-21 Bikash R. Dinda

We study the consequences of the $f(R/\Box)$ gravity models for the Solar system and the large scale structure of the universe. The spherically symmetric solutions can be used to obtain bounds on the constant and the linear parts of the…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Tomi S. Koivisto

The scalar-tensor representation of $f(R,T)$ gravity is extended to incorporate the Herglotz variational principle. The field equations are derived in both the geometric and scalar-tensor frameworks. Although the divergence of the…

General Relativity and Quantum Cosmology · Physics 2026-03-02 Marek Wazny

Testing a subset of viable cosmological models beyond General Relativity (GR), with implications for cosmic acceleration and the Dark Energy associated with it, is within the reach of Rubin Observatory Legacy Survey of Space and Time (LSST)…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-16 Nesar Ramachandra , Georgios Valogiannis , Mustapha Ishak , Katrin Heitmann

Loop quantum gravity is one of the leading candidate theory to non-perturbatively quantize gravity. In this framework, holonomy corrections to the equation of propagation of gravitons in a FLRW background have been derived. We investigate…

General Relativity and Quantum Cosmology · Physics 2008-05-06 A. Barrau , J. Grain

We consider the noncommutative Standard Model that contains Lorentz symmetry violation as a subset of the Standard Model extension. We introduce a constant electromagnetic field as a background to derive mutual relations between the free…

High Energy Physics - Phenomenology · Physics 2017-10-17 S. Aghababaei , M. Haghighat