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Preferred frame effects (PFEs) are predicted by a number of alternative gravity theories which include vector or additional tensor fields, besides the canonical metric tensor. In the framework of parametrized post-Newtonian (PPN) formalism,…

General Relativity and Quantum Cosmology · Physics 2013-06-04 Lijing Shao , Norbert Wex , Michael Kramer

The relativistic theories of light propagation are generalized by introducing two new parameters $\varsigma$ and $\eta$ in the second post-Newtonian (2PN) order, in addition to the parameterized post-Newtonian parameters $\gamma$ and…

General Relativity and Quantum Cosmology · Physics 2015-05-26 Xue-Mei Deng

We extend the systematic calculation of an approximately relativistic Hamiltonian for centre of mass and internal dynamics of an electromagnetically bound two-particle system by Sonnleitner and Barnett [1] to the case including a weak…

Quantum Physics · Physics 2019-11-27 Philip K. Schwartz , Domenico Giulini

Scalar-tensor (ST) gravity theories provide an appropriate theoretical framework for the variation of Newton's fundamental constant, conveyed by the dynamics of a scalar-field non-minimally coupled to the space-time geometry. The…

General Relativity and Quantum Cosmology · Physics 2015-05-27 José P. Mimoso , Francisco S. N. Lobo

This thesis deals with the systematic treatment of quantum-mechanical systems in post-Newtonian gravitational fields. Starting from clearly spelled-out assumptions, employing a framework of geometric background structures defining the…

General Relativity and Quantum Cosmology · Physics 2020-10-07 Philip K. Schwartz

Using a novel and self-consistent approach that avoids the scalar-tensor identification in the Einstein frame, we reanalyze the viability of f(R) gravity within the context of solar-system tests. In order to do so, we depart from a simple…

General Relativity and Quantum Cosmology · Physics 2020-03-06 Carolina Negrelli , Lucila Kraiselburd , Susana J. Landau , Marcelo Salgado

The recently proposed Nieh-Yan modified teleparallel gravity is a parity-violating gravity model that modifies the general relativity equivalent teleparallel gravity by a Nieh-Yan term. This model is healthy and simple in form. In this…

General Relativity and Quantum Cosmology · Physics 2022-01-12 Haomin Rao

The current effort to test General Relativity employs multiple disparate formalisms for different observables, obscuring the relations between laboratory, astrophysical and cosmological constraints. To remedy this situation, we develop a…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-09 Tessa Baker , Dimitrios Psaltis , Constantinos Skordis

Parametrized Post-Newtonian (PPN) equations of motion for several S-stars nearest to the Galactic Center compact relativistic object SgrA* are considered. The effect of the orbital periods difference between Newtonian and Post-Newtonian…

Astrophysics of Galaxies · Physics 2020-11-25 R. I. Gainutdinov

We compute the Post-Newtonian parameter (PPN),$\gamma$, for scalar-tensor gravity theory when the action functional for the scalar field is a non-standard one, namely the Dirac-Born-Infeld (DBI) type action, used in the literature for a…

General Relativity and Quantum Cosmology · Physics 2015-05-27 N. Chandrachani Devi , Sudhakar Panda , Anjan A Sen

We examine general physical parameterisations for viable gravitational models in the $f(R)$ framework. This is related to the mass of an additional scalar field, called the scalaron, that is introduced by the theories. Using a simple…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Shaun A. Thomas , Stephen A. Appleby , Jochen Weller

We study the post-Newtonian limit of higher-order scalar-tensor theories that are degenerate in the unitary gauge. They can be conveniently described by the effective field theory (EFT) of dark energy. We determine all the parametrized…

General Relativity and Quantum Cosmology · Physics 2024-08-27 Jin Saito , Zhibang Yao , Tsutomu Kobayashi

Chameleon $f(R)$ gravity is equivalent to a class of scalar-tensor theories of gravity with chameleon screening mechanism allowing the theory to satisfy local tests of gravity. Within the framework of chameleon $f(R)$, we study the impact…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Xing Zhang

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

Screened modified gravity theories evade the solar system tests that have proved prohibitive for classical alternative gravity theories. In many cases, they do not fit into the PPN formalism. The environmental dependence of the screening…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-12 Jeremy Sakstein

Massive Brans-Dicke (BD) theory is among the simplest general relativity extensions. It is commonly found as the weak-field limit of other gravitational theories. Here we do a detailed post-Newtonian analysis of massive BD theories. We…

General Relativity and Quantum Cosmology · Physics 2024-02-26 Matheus F. S. Alves , Júnior D. Toniato , Davi C. Rodrigues

Testing General Relativity (GR) is a key science goal of much of modern physics, and usually results in constraints that are either theory or context specific. We present an holistic framework that we dub `Parametrized Post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Daniel B Thomas , Theodore Anton , Timothy Clifton

We calculate the parameters $\gamma$ and $\beta$ in the parametrized post-Newtonian (PPN) formalism for scalar-tensor gravity (STG) with an arbitrary potential, under the assumption that the source matter is given by a non-rotating sphere…

General Relativity and Quantum Cosmology · Physics 2017-11-22 Manuel Hohmann , Andreas Schärer

Rotational motion of extended celestial bodies is discussed in the framework of the Parametrized Post-Newtonian (PPN) formalism with the two parameters $\gamma$ and $\beta$. A local PPN reference system of a massive extended body being a…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sergei A. Klioner , Michael Soffel

We describe here how planetary ephemerides are built in the framework of General Relativity and how they can be used to test alternative theories. We focus on the definition of the reference frame (space and time) in which the planetary…

General Relativity and Quantum Cosmology · Physics 2024-07-25 Agnès Fienga , Olivier Minazzoli
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