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We study the motion of particles in the background of a scalar-tensor theory of gravity in which the scalar field is kinetically coupled to Einstein tensor. We constrain the value of the derivative parameter $z$ through solar system tests.…

General Relativity and Quantum Cosmology · Physics 2020-12-02 P. A. González , Marco Olivares , Eleftherios Papantonopoulos , Yerko Vásquez

We study the effect of modified gravity on weak lensing in a class of scalar-tensor theory that includes $f(R)$ gravity as a special case. These models are designed to satisfy local gravity constraints by having a large scalar-field mass in…

Astrophysics · Physics 2009-06-23 Shinji Tsujikawa , Takayuki Tatekawa

Over the last few years much attention has been given to the study of modified gravity theories in order to find a more natural explanation for the late time acceleration of the Universe. Nevertheless, a comparison of the matter power…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Amare Abebe , Alvaro de la Cruz Dombriz , Peter K. S. Dunsby

When recent observational evidence and the GR+FRW+CDM model are combined we obtain the result that the Universe is accelerating, where the acceleration is due to some not-yet-understood "dark sector". There has been a considerable number of…

Cosmology and Nongalactic Astrophysics · Physics 2012-05-17 Jonathan A. Pearson

In the context of the natural splitting, the standard relative dynamics can be expressed in terms of gravito-electromagnetic fields, which allow to formally introduce a gravito-magnetic Aharonov-Bohm effect. We showed elsewhere that this…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Matteo Luca Ruggiero

Weak gravitational lensing is one of the primary cosmological probes, providing powerful constraints on the cosmological model. As Stage IV surveys are expected to deliver data of unprecedented precision, accurate modeling of weak…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-10 Mattia Pantiri , Matthieu Schaller , Alessandra Silvestri , Jeger C. Broxterman , Joop Schaye

We study a specific model of anisotropic strange stars in the modified $f\left(R,\mathcal{T}\right)$-type gravity by deriving solutions to the modified Einstein field equations representing a spherically symmetric anisotropic stellar…

General Relativity and Quantum Cosmology · Physics 2019-05-01 Debabrata Deb , Sergei V. Ketov , S. K. Maurya , Maxim Khlopov , P. H. R. S. Moraes , Saibal Ray

Teleparallel gravity is a modified theory of gravity for which the Ricci scalar $R$ of the underlying geometry in the action is replaced by an arbitrary functional form of torsion scalar $T$. In doing so, cosmology in $% f(T)$ gravity…

General Physics · Physics 2022-07-20 Sanjay Mandal , Snehasish Bhattacharjee , S. K. J. Pacif , P. K. Sahoo

Recently, we have constructed the conformal gravity with metric and torsion, finding the gravitational field equations that give the conservation laws and trace condition; in the present paper we apply this theory to the case of the Dirac…

General Relativity and Quantum Cosmology · Physics 2014-04-11 Luca Fabbri

Scalar-tensor gravity is the simplest and best understood modification of general relativity, consisting of a real scalar field coupled directly to the Ricci scalar curvature. Models of this type have self-accelerating solutions. In an…

Astrophysics · Physics 2009-09-17 Gabriela Barenboim , Joseph Lykken

An action in which the Ricci scalar is nonminimally coupled with a scalar field and contains higher order curvature invariant terms carries a conserved current under certain conditions that decouples geometric part from the scalar field.…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Abhik Kumar Sanyal

Tetrahedral configurations of spacecraft on unperturbed heliocentric orbits allow for highly precise observations of small spatial changes in the gravitational field, especially those affecting the gravity gradient tensor (GGT). The…

General Relativity and Quantum Cosmology · Physics 2024-04-26 Slava G. Turyshev , Sheng-wey Chiow , Nan Yu

Modified gravity theories such as Einstein scalar Gauss Bonnet (EsGB) contain higher derivative terms in the spacetime curvature in their action, which results in modifications to the Hamiltonian and momentum constraints of the theory. In…

General Relativity and Quantum Cosmology · Physics 2023-12-01 Sam E. Brady , Llibert Aresté Saló , Katy Clough , Pau Figueras , Annamalai P. S

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…

General Physics · Physics 2015-07-20 S. I. Kruglov

Stage-IV surveys will enable unprecedented tests of gravity on cosmological scales. However, assuming General Relativity in the analysis of large-scale structure could introduce systematic biases if gravity deviates from GR at these scales.…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-27 Marc Alemany-Gotor , Cristian Viglione , Pablo Fosalba , Isaac Tutusaus

We review the constraints modified theories of gravity must satisfy to be compatible with the spherically symmetric black hole solutions of semiclassical gravity that describe the formation of an apparent horizon in finite time of a distant…

General Relativity and Quantum Cosmology · Physics 2023-01-30 Sebastian Murk

We examine the observational viability of a class of $f(\mathcal{R})$ gravity cosmological models. Particular attention is devoted to constraints from the recent observational determination of the redshift of the cosmological…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Salvatore Capozziello , Omer Farooq , Orlando Luongo , Bharat Ratra

We derive the equation of matter density perturbations on sub-horizon scales around a flat Friedmann-Lema\^\i tre-Robertson-Walker background for the general Lagrangian density $f(R,\GB)$ that is a function of a Ricci scalar $R$ and a…

Cosmology and Nongalactic Astrophysics · Physics 2011-05-13 Antonio De Felice , Teruaki Suyama

Modified gravity provides a possible explanation for the currently observed cosmic accelaration. In this paper, we study general classes of modified gravity models. The Einstein-Hilbert action is modified by using general functions of the…

Astrophysics · Physics 2008-11-26 Antonio De Felice , Pia Mukherjee , Yun Wang

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…

Astrophysics · Physics 2009-02-20 Simon DeDeo , Dimitrios Psaltis