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We explore scalarized Einstein-Gauss-Bonnet theories within the context of the Parameterized Post-Newtonian formalism, which serves as a robust framework for examining modifications to General Relativity that exhibit scalarization. This…

General Relativity and Quantum Cosmology · Physics 2025-07-10 Martín G. Richarte , Júnior D. Toniato

The time delay effect for planets and spacecraft is obtained from a fully relativistic modified gravity theory including a fifth force skew symmetric field by fitting to the Pioneer 10/11 anomalous acceleration data. A possible detection of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. W. Moffat

Testing gravity by binary pulsars nowadays becomes a key issue. Screened modified gravity is a kind of scalar-tensor theory with screening mechanism in order to satisfy the tight Solar System tests. In this paper, we investigate how the…

General Relativity and Quantum Cosmology · Physics 2020-03-04 Xing Zhang , Wen Zhao , Tan Liu , Kai Lin , Chao Zhang , Xiang Zhao , Shaojun Zhang , Tao Zhu , Anzhong Wang

In the past few decades, various versions of modified gravity theories were proposed to mimic the effect of dark matter. Compared with the conventional Newtonian or relativistic dynamics, these theories contain some extra apparent force…

General Relativity and Quantum Cosmology · Physics 2023-02-01 Man Ho Chan , Chak Man Lee

In this paper we investigate a Yukawa gravity modification of the Newtonian gravitational potential in a weak field approximation. For that purpose we derived the corresponding equations of motion and used them to perform two-body…

Astrophysics of Galaxies · Physics 2023-05-05 P. Jovanović , V. Borka Jovanović , D. Borka , A. F. Zakharov

Although the Gauss-Bonnet term is a topological invariant for general relativity, it couples naturally to a quintessence scalar field, modifying gravity at solar system scales. We determine the solar system constraints due to this term by…

Astrophysics · Physics 2009-06-23 Luca Amendola , Christos Charmousis , Stephen C. Davis

This thesis is devoted to the study of gravitational theories which can be seen as modifications or generalisations of General Relativity. The motivation for considering such theories, stemming from Cosmology, High Energy Physics and…

General Relativity and Quantum Cosmology · Physics 2011-11-10 Thomas P. Sotiriou

A simple derivation of the static Gross-Pitaevskii (GP) equation is given from an energy variational principle. The result is then generalized heuristically to the time-dependent GP form. With this as background, a number of different…

Soft Condensed Matter · Physics 2007-05-23 G. G. N. Angilella , S. Bartalini , F. S. Cataliotti , I. Herrera , N. H. March , R. Pucci

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

In this paper we study the effects of $f(R)$ Theories of Gravity on Solar System gravitational tests. In particular, starting from an exact solution of the field equation in vacuum, in the Palatini formalism, we work out the effects that…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Matteo Luca Ruggiero , Lorenzo Iorio

We study structure formation in phenomenological models in which the Friedmann equation receives a correction of the form $H^{\alpha}/r_c^{2-\alpha}$, which realize an accelerated expansion without dark energy. In order to address structure…

Astrophysics · Physics 2009-11-11 Kazuya Koyama

The field equations of a generalized $f(R)$ type gravity model, in which there is an arbitrary coupling between matter and geometry, are obtained. The equations of motion for test particles are derived from a variational principle in the…

General Relativity and Quantum Cosmology · Physics 2009-05-26 T. Harko

We systematically assess several limiting cases of modified gravity, where particular theoretical or observational conditions hold. This framework includes the well known scalar-tensor gravity and No Slip Gravity and No Run Gravity, and we…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-15 Eric V. Linder

Many theories of modified gravity, including the well studied Horndeski models, are characterized by a screening mechanism that ensures that standard gravity is recovered near astrophysical bodies. In a recently introduced class of…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Ryo Saito , Daisuke Yamauchi , Shuntaro Mizuno , Jérôme Gleyzes , David Langlois

This is a brief review of modified gravity cosmologies. Generically extensions of gravity action involve higher derivative terms, which can result in ghosts and instabilities. There are three ways to circumvent this: Chern-Simons terms,…

General Relativity and Quantum Cosmology · Physics 2010-02-24 Tomi S. Koivisto

We explore the signatures of quintessence and modified gravity theories in the relativistic description of galaxy clustering within a parametrized post-Friedmann framework. For this purpose, we develop a calibration method to consistently…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-29 Lucas Lombriser , Jaiyul Yoo , Kazuya Koyama

This research delves into the optical characteristics of stationary, spherically symmetric black holes. These black holes follow the Konoplya-Zhidenko deformation rule in arbitrary gravity theories. This research finds that the effects of…

General Relativity and Quantum Cosmology · Physics 2025-05-28 Qiao Yue , Zhaoyi Xu , Meirong Tang

Inspired by a new compilation of strong lensing systems, which consist of 204 points in the redshift range $0.0625< z_{l} < 0.958$ for the lens and $0.196< z_{s} < 3.595$ for the source, we constrain three models that generate a late cosmic…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-14 Mario H. Amante , Juan Magaña , V. Motta , Miguel A. García-Aspeitia , Tomás Verdugo

Existing constraints on the graviton mass from gravitational-wave detections rely on the phase difference developed between different frequencies during the propagation. Effects on the quasinormal-mode frequencies of the black-hole ringdown…

General Relativity and Quantum Cosmology · Physics 2019-06-18 Ka-Wai Chung , Tjonnie Guang Feng Li

We solve for the behaviour of cosmological perturbations in the Dvali-Gabadadze-Porrati (DGP) braneworld model using a new numerical method. Unlike some other approaches in the literature, our method uses no approximations other than linear…

Astrophysics · Physics 2008-11-26 Antonio Cardoso , Kazuya Koyama , Sanjeev S. Seahra , Fabio P. Silva