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The Lorentz covariant theory of propagation of light in the (weak) gravitational fields of N-body systems consisting of arbitrarily moving point-like bodies with constant masses is constructed. The theory is based on the Lienard-Wiechert…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sergei M. Kopeikin , Gerhard Schafer

This work discusses scalar-tensor theories of gravity, with a focus on the Brans-Dicke subclass, and one that also takes note of the latter's equivalence with $f(R)$ gravitation theories. A 1+3 covariant formalism is used in this case to…

General Relativity and Quantum Cosmology · Physics 2018-01-08 Joseph Ntahompagaze , Amare Abebe , Manasse R. Mbonye

Quantum fluctuations of scalar fields during inflation could determine the very large-scale structure of the universe. In the case of general scalar-tensor gravity theories these fluctuations lead to the diffusion of fundamental constants…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Juan Garcia-Bellido , David Wands

In this work, we propose a model of Einstein--Gauss-Bonnet gravity coupled with two scalar fields. The two scalar fields are considered to be ``frozen'' or they become non-dynamical by employing appropriate constraints in terms of Lagrange…

General Relativity and Quantum Cosmology · Physics 2023-12-06 E. Elizalde , Shin'ichi Nojiri , S. D. Odintsov , V. K. Oikonomou

Light undergoes perturbation as gravitational waves pass by. This is shown by solving Maxwell's equations in a spacetime with gravitational waves; a solution exhibits a perturbation due to gravitational waves. We determine the perturbation…

General Relativity and Quantum Cosmology · Physics 2021-07-05 Dong-Hoon Kim , Chan Park

The propagation of boson particles in a gravitational field described by the Brans-Dicke theory of gravity is analyzed. We derive the wave function of the scalar particles, and the effective potential experienced by the quantum particles…

General Relativity and Quantum Cosmology · Physics 2015-07-15 S. Capozziello , G. Lambiase

We investigate the transmission of scalar, electromagnetic, and linearized odd-parity gravitational waves in a static spacetime characterized by a spherical distribution of matter in the form of thin concentric equidistant shells of equal…

General Relativity and Quantum Cosmology · Physics 2024-07-04 Rubén O. Acuña-Cárdenas , Olivier Sarbach , Luca Tessieri

The effective action for QED in curved spacetime includes equivalence principle violating interactions between the electromagnetic field and the spacetime curvature. These interactions admit the possibility of superluminal yet causal photon…

General Relativity and Quantum Cosmology · Physics 2009-10-28 R. D. Daniels , G. M. Shore

We consider the scattering of gravitational waves off a Schwarzschild black hole in $f(R)$ gravity. We show that the reflection and transmission coefficients for tensor waves are the same as in General Relativity. While the scalar waves,…

General Relativity and Quantum Cosmology · Physics 2017-09-13 Dan B. Sibandze , Rituparno Goswami , Sunil D. Maharaj , Anne Marie Nzioki , Peter K. S. Dunsby

It has long been known that a uniform distribution of matter cannot produce a Poisson distribution of density fluctuations on very large scales $1/k > ct$ by the motion of discrete particles over timescale $t$. The constraint is part of…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-15 Richard Lieu

We investigate the propagation of the gravitational waves in a cosmological background. Based on the framework of spatially covariant gravity, we derive the general quadratic action for the gravitational waves. The spatial derivatives of…

General Relativity and Quantum Cosmology · Physics 2020-04-01 Xian Gao , Xun-Yang Hong

It is investigated the gravitational waves phenomena in the geometric scalar theory of gravity (GSG), a class of theories such that gravity is described by a single scalar field. The associated physical metric describing the spacetime is…

General Relativity and Quantum Cosmology · Physics 2019-08-16 Júnior Diniz Toniato

In a suitably chosen essentially unique frame tied to a given observer in a general spacetime, the equation of geodesic deviation can be decomposed into a sum of terms describing specific effects: isotropic (background) motions associated…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Bicak , J. Podolsky

We analyze the dispersion relation for an anisotropic gravity-electromagnetic theory at very high energies. In particular for photons of very high energy. We start by introducing the anisotropic gravity-gauge vector field model. It is…

High Energy Physics - Theory · Physics 2023-10-18 Jarvin Mestra-Páez , Álvaro Restuccia , Francisco Tello-Ortiz

A gravity theory is developed with the metric ${\hat g}_{\mu\nu}= {g}_{\mu\nu}+B\partial_\mu\phi\partial_\nu\phi$. In the present universe the additional contribution from the scalar field in the metric ${\hat g}_{\mu\nu}$ can generate an…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. A. Clayton , J. W. Moffat

Using the principle of least action, the motion equations for a singular hypersurface of arbitrary type in quadratic gravity are derived. Equations containing the "external pressure" and the "external flow" components of the surface…

General Relativity and Quantum Cosmology · Physics 2023-02-02 V. A. Berezin , I. D. Ivanova

In this paper, we investigate the polarization modes of gravitational waves within the most general symmetric teleparallel gravity theory that allows for second-order field equations We consider both scenarios where test particles either…

General Relativity and Quantum Cosmology · Physics 2025-06-03 Yu-Qi Dong , Xiao-Bin Lai , Yu-Zhi Fan , Yu-Xiao Liu

Gravitational waves offer a potent mean to test the underlying theory of gravity. In general theories of gravity, such as scalar-tensor theories, one expects modifications in the friction term and the sound speed in the gravitational wave…

General Relativity and Quantum Cosmology · Physics 2024-10-17 Yi-Fu Cai , Guillem Domènech , Alexander Ganz , Jie Jiang , Chunshan Lin , Bo Wang

We consider theories containing scalar fields interacting with vector or with tensor degrees of freedom, equipped with symmetries that prevent the propagation of linearized scalar excitations around solutions of the equations of motion. We…

High Energy Physics - Theory · Physics 2020-10-14 Gianmassimo Tasinato

We address the issue of potential superluminal propagation of gravitational waves in backgrounds neighboring the previously suggested bounce [arXiv:1807.08361] in beyond Horndeski theory. We find that the bouncing solution lies right at the…

High Energy Physics - Theory · Physics 2020-05-20 S. Mironov , V. Rubakov , V. Volkova
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