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General Relativity (GR) has been successfully tested mainly at Solar system scales; however, galaxy-scale tests have become popular in the last few decades. In this work, we investigate the $\eta_\text{PPN}$ parameter, which is commonly…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-09 Carlos R. Melo-Carneiro , Cristina Furlanetto , Ana L. Chies-Santos

A gravity theory called scalar-tensor-vector gravity (STVG) has been recently developed and succeeded in solar system, astrophysical and cosmological scales without dark matter [J. W. Moffat, J. Cosmol. Astropart. Phys. 03, 004 (2006)].…

General Relativity and Quantum Cosmology · Physics 2009-09-02 Xue-Mei Deng , Yi Xie , Tian-Yi Huang

We consider the parametrized post-Newtonian (PPN) limit of ghost-free massive bimetric gravity with two mutually non-interacting matter sectors coupled to the two metrics. Making use of a gauge-invariant differential decomposition of the…

General Relativity and Quantum Cosmology · Physics 2017-07-14 Manuel Hohmann

We study the cosmological constraints on the variation of the Newton's constant and on post-Newtonian parameters for simple models of scalar-tensor theory of gravity beyond the extended Jordan-Brans-Dicke theory. We restrict ourselves to an…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-07 M. Rossi , M. Ballardini , M. Braglia , F. Finelli , D. Paoletti , A. A. Starobinsky , C. Umiltà

Some theories of gravity predict the existence of preferred-frame effects and violations of conservation of energy and momentum. General relativity predicts no such effects. In the parameterised post-Newtonian (PPN) formalism, the…

Astrophysics · Physics 2009-10-28 J. F. Bell

The determination of velocities of stars from precise Doppler measurements is described here using relativistic theory of astronomical reference frames so as to determine the Keplerian and post-Keplerian parameters of binary systems. We…

Astrophysics · Physics 2009-10-31 S. M. Kopeikin , L. M. Ozernoy

Some recently discovered nonperturbative strong-field effects in tensor-scalar theories of gravitation are interpreted as a scalar analog of ferromagnetism: "spontaneous scalarization". This phenomenon leads to very significant deviations…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Thibault Damour , Gilles Esposito-Farese

In a multidimensional Kaluza-Klein model with Ricci-flat internal space, we study the gravitational field in the weak-field limit. This field is created by two coupled sources. First, this is a point-like massive body which has a dust-like…

General Relativity and Quantum Cosmology · Physics 2017-11-03 Alexander Zhuk , Alexey Chopovsky , Seyed Hossein Fakhr , Valerii Shulga , Han Wei

The post Newtonian parameter is considered in the Chameleon-Brans-Dicke frame. In the first step, the general form of this parameter and also effective gravitational constant is obtained. An arbitrary function for $f(\Phi)$, which indicates…

General Relativity and Quantum Cosmology · Physics 2014-01-20 Khaled Saaidi , Abolhassan Mohammadi , Haidar Sheikhahmadi

The most precise test of the post-Newtonian gamma parameter in the solar system has been achieved in measurement of the frequency shift of radio waves to and from the Cassini spacecraft as they passed near the Sun. The test relies upon the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. M. Kopeikin , A. G. Polnarev , G. Schaefer , I. Yu. Vlasov

We discuss the post-Newtonian limit of multimetric gravity theories with $N \geq 2$ metric tensors and a corresponding number of standard model copies, and construct an extension of the parameterized post-Newtonian (PPN) formalism. This…

General Relativity and Quantum Cosmology · Physics 2014-06-17 Manuel Hohmann

Chameleon mechanism appearing in massive tensor-scalar theory of gravity can effectively reduce locally the non-minimal coupling between the scalar field and matter. This mechanism is invoked to reconcile large-scale departures from general…

General Relativity and Quantum Cosmology · Physics 2015-03-19 A. Hees , A. Füzfa

We consider a recently proposed class of extended teleparallel theories of gravity, which entail a scalar field which is non-minimally coupled to the torsion of a flat, metric-compatible connection. This class of scalar-torsion theories of…

General Relativity and Quantum Cosmology · Physics 2020-01-24 Elena D. Emtsova , Manuel Hohmann

The post-Newtonian parameter $\gamma$ resulting from a universal scalar/matter coupling is investigated in Brans-Dicke-like Scalar-Tensor theories where the scalar potential is assumed to be negligible. Conversely to previous studies, we…

General Relativity and Quantum Cosmology · Physics 2013-05-09 Olivier Minazzoli

Searching for an intermediate-range force has been considerable interests in gravity experiments. In this paper, aiming at a scalar-tensor theory with an intermediate-range force, we have derived the metric and equations of motion (EOMs) in…

General Relativity and Quantum Cosmology · Physics 2011-12-25 Xue-Mei Deng

Relativistic models of light propagation adopted for high-precision astrometry are based on the parametrised post-Newtonian formalism, which provides a framework for examining the effects of a hypothetical violation of general relativity on…

Instrumentation and Methods for Astrophysics · Physics 2022-07-20 A. G. Butkevich , A. Vecchiato , B. Bucciarelli , M. Gai , M. Crosta , M. G. Lattanzi

Based on the {\it dynamical} equivalence between higher order gravity and scalar-tensor gravity the PPN-limit of fourth order gravity is discussed. We exploit this analogy developing a fourth order gravity version of the Eddington…

Astrophysics · Physics 2008-11-26 S. Capozziello , A. Troisi

Based on a mass-selected sample of galaxy-scale strong gravitational lenses from the SLACS, BELLS, LSD and SL2S surveys and using a well-motivated fiducial set of lens-galaxy parameters we tested the weak-field metric on kiloparsec scales…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-08 Shuo Cao , Xiaolei Li , Marek Biesiada , Tengpeng Xu , Yongzhi Cai , Zong-Hong Zhu

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

We review the dynamical equivalence between $f(R)$ gravity in the metric formalism and scalar-tensor gravity, and use this equivalence to deduce the post-Newtonian parameters $\gamma$ and $\beta$ for a $f(R)$ theory, obtaining a result that…

General Relativity and Quantum Cosmology · Physics 2010-05-07 Monica Capone , Matteo Luca Ruggiero