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In this paper, we derive a 90\% credible lower bound on the modified parameter of scalar-tensor theories as $\varphi_{-2}>-7.94\times10^{-4}$ by using dominant-mode correction. Specific to BD theory, we have the constraint $\omega_{\rm…

General Relativity and Quantum Cosmology · Physics 2024-04-30 Jing Tan , Baoxiang Wang

We propose a unimodular version of the Brans-Dicke theory designed with a constrained Lagrangian formulation. The resulting field equations are traceless. The vacuum solutions in the cosmological background reproduce the corresponding…

General Relativity and Quantum Cosmology · Physics 2022-07-28 Alexandre M. R. Almeida , Júlio C. Fabris , Mahamadou Hamani Daouda , Richard Kerner , Hermano Velten , Wiliam S. Hipólito-Ricaldi

Over the past decade, f(R) theories have been extensively studied as one of the simplest modifications to General Relativity. In this article we review various applications of f(R) theories to cosmology and gravity - such as inflation, dark…

General Relativity and Quantum Cosmology · Physics 2013-11-12 Antonio De Felice , Shinji Tsujikawa

We use the gravitational wave (GW) events GW170817 and GW190521, together with their proposed electromagnetic counterparts, to constrain cosmological parameters and theories of gravity beyond General Relativity (GR). In particular we…

General Relativity and Quantum Cosmology · Physics 2021-03-03 S. Mastrogiovanni , L. Haegel , C. Karathanasis , I. Magana-Hernandez , D. A. Steer

Dark energy cosmology is considered in a modified Gauss-Bonnet (GB) model of gravity where an arbitrary function of the GB invariant, $f(G)$, is added to the General Relativity action. We show that such theory is endowed with a quite rich…

High Energy Physics - Theory · Physics 2008-11-26 Guido Cognola , Emilio Elizalde , Shin'ichi Nojiri , Sergei D. Odintsov , Sergio Zerbini

Theories of gravity extending or modifying general relativity typically allow for black hole solutions different from the Schwarzschild/Kerr geometries. Electromagnetic observations have been used to place constraints on parametrized…

General Relativity and Quantum Cosmology · Physics 2020-10-21 Sebastian H. Völkel , Enrico Barausse

The Generalized Minimal Massive Gravity (GMMG) theory is realized by adding the CS deformation term, the higher derivative deformation term, and an extra term to pure Einstein gravity with a negative cosmological constant. In the present…

High Energy Physics - Theory · Physics 2016-03-23 M. R. Setare , H. Adami

In the near future, gravitational wave detection is set to become an important observational tool for astrophysics. It will provide us with an excellent means to distinguish different gravitational theories. In effective form, many…

General Relativity and Quantum Cosmology · Physics 2016-08-30 Zhoujian Cao , Pablo Galaviz , Li-Fang Li

Modified gravity has attracted much attention over the last few years and remains a potential candidate for dark energy. In particular, the so-called viable f(R) gravity theories, which are able to both recover General Relativity (GR) and…

General Relativity and Quantum Cosmology · Physics 2016-04-20 Alvaro de la Cruz-Dombriz , Peter K. S. Dunsby , Sulona Kandhai , Diego Saez-Gomez

General Relativity is expected to break down in the high-curvature regime. Beyond an effective field theory treatment with higher-order operators, it is important to identify consistent theories with higher-curvature terms at the…

General Relativity and Quantum Cosmology · Physics 2025-10-22 Fabrizio Corelli , Paolo Pani , Andrea P. Sanna

The question of what gravitational theory could supersede General Relativity has been central in theoretical physics for decades. Many disparate alternatives have been proposed motivated by cosmology, quantum gravity and phenomenological…

General Relativity and Quantum Cosmology · Physics 2017-11-13 Juan Cayuso , Néstor Ortiz , Luis Lehner

The increasing precision of cosmological data provides us with an opportunity to test general relativity (GR) on the largest accessible scales. Parameterizing modified gravity models facilitates the systematic testing of the predictions of…

Cosmology and Nongalactic Astrophysics · Physics 2013-11-26 Ali Narimani , Douglas Scott

We investigate the formation of the large-scale cosmic structure in a scalar-tensor theory of gravity belonging to the class of the Brans--Dicke theories. The universe contains baryonic matter alone and neither dark matter nor dark energy.…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-02 Lorenzo Gervani , Antonaldo Diaferio , Francesco Pace , Andrea Pierfrancesco Sanna

We study the dynamics of a modified-gravity theory, which is supplemented by an extended Gibbons-Hawking-York boundary term and incorporates diffeomorphism violation through nondynamical background fields denoted as $u$ and $s^{\mu\nu}$ in…

High Energy Physics - Theory · Physics 2022-09-07 Carlos M. Reyes , Marco Schreck

Gravitational wave observations can provide unprecedented insight into the fundamental nature of gravity and allow for novel tests of modifications to General Relativity. One proposed modification suggests that gravity may undergo a phase…

General Relativity and Quantum Cosmology · Physics 2019-12-05 Mohammed Khalil , Noah Sennett , Jan Steinhoff , Alessandra Buonanno

Linearized gravitational waves in de Sitter space-time are analyzed in detail to obtain guidance for constructing the theory of gravitational radiation in presence of a positive cosmological constant in full, nonlinear general relativity.…

General Relativity and Quantum Cosmology · Physics 2015-09-02 Abhay Ashtekar , Béatrice Bonga , Aruna Kesavan

This paper is aimed at a (mostly) pedagogical exposition of the derivation of the motion equations of certain modifications of general relativity. Here we derive in all detail the motion equations in the Brans-Dicke theory with the cubic…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Israel Quiros , Ricardo García-Salcedo , Tame Gonzalez , F. Antonio Horta-Rangel , Joel Saavedra

The improved version of ghost-free $f(\mathcal{G})$ gravity introduced in Phys.~Lett.~B \textbf{631} (2005), 1-6 is proposed and investigated. It is demonstrated that improved ghost-free $f(\mathcal{G})$ gravity may be consistently applied…

General Relativity and Quantum Cosmology · Physics 2024-10-16 Shin'ichi Nojiri , S. D. Odintsov

It is a review paper. General relativity (GR) is presented in the field theoretical form, where gravitational field (metric perturbations) together with other physical fields are propagated in an auxiliary arbitrary curved background…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. N. Petrov

Gravitational-wave memory effects are identified by their distinctive effects on families of freely falling observers: after a burst of waves pass by their locations, memory effects can cause lasting relative displacements of the observers.…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Shammi Tahura , David A. Nichols , Alexander Saffer , Leo C. Stein , Kent Yagi