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Some modified theories of gravity are known to predict monopolar, in addition to the usual quadrupolar and beyond, gravitational radiation in the form of `breathing' modes. For the same reason that octupole and higher-multipole terms often…

High Energy Astrophysical Phenomena · Physics 2018-11-14 Arthur G Suvorov

A tensor description of perturbative Einsteinian gravity about an arbitrary background spacetime is developed. By analogy with the covariant laws of electromagnetism in spacetime, gravito-electromagnetic potentials and fields are defined to…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Simon J. Clark , Robin W. Tucker

A model of three-body motion is developed which includes the effects of gravitational radiation reaction. The radiation reaction due to the emission of gravitational waves is the only post-Newtonian effect that is included here. For…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Zachary E. Wardell

A pedagogical description of a simple ungeometrical approach to General Relativity is given, which follows the pattern of well understood field theories, such as electrodynamics. This leads quickly to most of the important weak field…

Astrophysics · Physics 2007-05-23 Norbert Straumann

Corrections to general relativity that introduce long-ranged scalar fields which are non-minimally coupled to curvature typically predict that neutron stars possess a non-trivial scalar field profile. An observer far from a star is most…

General Relativity and Quantum Cosmology · Physics 2016-01-18 Kent Yagi , Leo C. Stein , Nicolas Yunes

We investigate the linearized form of metric f(R)-gravity, assuming that f(R) is analytic about R = 0 so it may be expanded as f(R) = R + a_2 R^2/2 + ... . Gravitational radiation is modified, admitting an extra mode of oscillation, that of…

General Relativity and Quantum Cosmology · Physics 2012-03-30 Christopher P. L. Berry , Jonathan R. Gair

Radiation-reaction forces originating from the emission of gravitational waves (GW) bring binaries to close proximity and are thus responsible for virtually all the mergers that we can observe in GW interferometers. We show that there…

General Relativity and Quantum Cosmology · Physics 2023-03-29 Adrien Kuntz

Unimodular gravity is an appealing approach to address the cosmological constant problem. In this scenario, the vacuum energy density of quantum fields does not gravitate and the cosmological constant appears merely as an integration…

General Relativity and Quantum Cosmology · Physics 2020-07-03 Cristóbal Corral , Norman Cruz , Esteban González

The orbital period loss of the compact binary systems is the first indirect evidence of gravitational waves which agrees well with Einstein's general theory of relativity to a very good accuracy. However, there is less than one percent…

High Energy Physics - Phenomenology · Physics 2022-03-02 Tanmay Kumar Poddar

The gravitational waves (GWs) emitted by neutron star binaries probe the physics of matter at supra nuclear densities. During the late inspiral, tidal deformations raised on each star by the gravitational field of its companion depend…

General Relativity and Quantum Cosmology · Physics 2024-09-19 Justin L. Ripley , Abhishek Hegade K. R. , Rohit S. Chandramouli , and Nicolas Yunes

We investigate how the quasi-universal relations connecting tidal deformability with gravitational waveform characteristics and/or properties of individual neutron stars that were proposed in the literature within general relativity would…

High Energy Astrophysical Phenomena · Physics 2024-10-02 Alan Tsz-Lok Lam , Yong Gao , Hao-Jui Kuan , Masaru Shibata , Karim Van Aelst , Kenta Kiuchi

We study gravitational waves from a stellar-mass binary orbiting a spinning supermassive black hole, a system referred to as a binary extreme mass ratio inspiral (b-EMRI). We use Dixon's formalism to describe the stellar-mass binary as a…

General Relativity and Quantum Cosmology · Physics 2025-06-27 João S. Santos , Vitor Cardoso , José Natário , Maarten van de Meent

Negative masses have long been explored, but their observational viability remains unclear. In this work, we develop a unified, observationally testable framework to constrain negative masses using both coupling level and dynamical probes.…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Oem Trivedi , Abraham Loeb

The detection of an electromagnetic counterpart (GRB 170817A) to the gravitational wave signal (GW170817) from the merger of two neutron stars opens a completely new arena for testing theories of gravity. We show that this measurement…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-27 Tessa Baker , Emilio Bellini , Pedro G. Ferreira , Macarena Lagos , Johannes Noller , Ignacy Sawicki

The gravitational self-force (GSF) and post-Newtonian (PN) schemes are complementary approximation methods for modelling the dynamics of compact binary systems. Comparison of their results in an overlapping domain of validity provides a…

General Relativity and Quantum Cosmology · Physics 2015-06-10 Sarp Akcay , Alexandre Le Tiec , Leor Barack , Norichika Sago , Niels Warburton

The various methods to derive Einstein conservation laws and the relevant definitions of energy-momentum tensor density for gravitational fields are studied in greater detail. It is shown that these methods are all equivalent. The study on…

General Physics · Physics 2008-05-22 Chen Fang-Pei

A binary system composed of an oscillating and rotating coplanar dusty disk and a point mass is considered. The conservative dynamics is treated on the Newtonian level. The effects of gravitational radiation reaction and wave emission are…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Dörte Hansen

In a modified gravity theory, the propagation equation of gravitational waves will be presented in a non-standard way. Therefore this tenor mode perturbation of time-space, as a complement to the scalar mode perturbation, provides a unique…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Lixin Xu

General Relativity (GR) remains the most accurate theory of gravity to date. It has passed many experimental tests in the Solar System as well as binary pulsar, cosmological and gravitational-wave (GW) observations. Some of these tests…

General Relativity and Quantum Cosmology · Physics 2024-03-13 Marta Colleoni , N. V. Krishnendu , Pierre Mourier , Sayantani Bera , Xisco Jiménez-Forteza

We show that the structure of the Lorentz group in four dimensions is such that unimodular (trace-free) gravity can be consistently represented as an algebraic condition on the symmetric product space of 2-forms. This condition states that…

General Relativity and Quantum Cosmology · Physics 2025-12-24 Jack C. M. Hughes , Fedor V. Kusmartsev
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