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We produce gravitational waveforms for nonspinning compact binaries undergoing a quasicircular inspiral. Our approach is based on a two-timescale expansion of the Einstein equations in second-order self-force theory, which allows…

General Relativity and Quantum Cosmology · Physics 2023-08-16 Barry Wardell , Adam Pound , Niels Warburton , Jeremy Miller , Leanne Durkan , Alexandre Le Tiec

Linearized gravity in the Very Special Relativity (VSR) framework is considered. We prove that this theory allows for a non-zero graviton mass $m_g$ without breaking gauge invariance nor modifying the relativistic dispersion relation. We…

General Relativity and Quantum Cosmology · Physics 2023-09-07 Jorge Alfaro , Alessandro Santoni

We investigate the production of gravitational waves during the inspiral of compact binaries close to their merger in the context of a conformal gravity model. The model incorporates five massive polarization degrees of freedom, besides the…

General Relativity and Quantum Cosmology · Physics 2019-04-17 Patric Hölscher , Dominik J. Schwarz

This tutorial leads the reader through the details of calculating the properties of gravitational waves from orbiting binaries, such as two orbiting black holes. Using analogies with electromagnetic radiation, the tutorial presents a…

Physics Education · Physics 2019-08-15 Robert C. Hilborn

We study the gravitational waves emitted by an inspiralling compact binary system in massive Brans-Dicke theory. In addition to the two tensor polarizations, which have been obtained in the previous work, we calculate explicitly and…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Tan Liu , Wen Zhao , Yan Wang

We consider critical gravity as van Dam-Vletman-Zakharov (vDVZ) discontinuity in anti de Sitter space. For this purpose, we introduce the higher curvature gravity. This discontinuity can be confirmed by calculating the residues of relevant…

High Energy Physics - Theory · Physics 2011-07-22 Yun Soo Myung

We consider gravitational waves from the point of view of both their production and their propagation in doubly coupled bigravity in the metric formalism. In bigravity, the two gravitons are coupled by a non-diagonal mass matrix and show…

General Relativity and Quantum Cosmology · Physics 2017-07-26 Philippe Brax , Anne-Christine Davis , Johannes Noller

We report yes-go and no-go results on consistent cross-couplings for a collection of gravitons. Motivated by the search of theories where multiplets of massless spin-two fields cross-interact, we look for all the consistent deformations of…

High Energy Physics - Theory · Physics 2015-06-26 Nicolas Boulanger

The observation of the inspiral and merger of compact binaries by the LIGO-Virgo collaboration has allowed for new tests of Einstein's theory in the extreme gravity regime, where gravitational interactions are simultaneously strong,…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Pratik Wagle , Alexander Saffer , Nicolas Yunes

We perform a Feynman diagram calculation of the two-loop scattering amplitude for gravitationally interacting massive particles in the classical limit. Conveniently, we are able to sidestep the most taxing diagrams by exploiting the…

High Energy Physics - Theory · Physics 2020-07-15 Clifford Cheung , Mikhail P. Solon

In Einstein's general relativity, gravity is mediated by a massless spin-2 metric field, and its extension to include a mass for the graviton has profound implication for gravitation and cosmology. In 2002, Finn and Sutton used the…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-20 Xueli Miao , Lijing Shao , Bo-Qiang Ma

We describe a method by which gravitational wave observations of eccentric binary systems could be used to test General Relativity's prediction that gravitational waves are dispersionless. We present our results in terms of the graviton…

General Relativity and Quantum Cosmology · Physics 2011-05-23 D I Jones

An outstanding question in modern Physics is whether general relativity (GR) is a complete description of gravity among bodies at macroscopic scales. Currently, the best experiments supporting this hypothesis are based on high-precision…

Solar and Stellar Astrophysics · Physics 2015-06-22 John Antoniadis

We consider the relativistic Vlasov-Maxwell and Vlasov-Nordstr\"om systems which describe large particle ensembles interacting by either electromagnetic fields or a relativistic scalar gravity model. For both systems we derive a radiation…

Mathematical Physics · Physics 2009-11-11 Sebastian Bauer , Markus Kunze , Gerhard Rein , Alan D. Rendall

The massive spin-2 quantum gauge theory previously developed is applied to calculate gravitational bremsstrahlung. It is shown that this theory is unique and free from defects. In particular, there is no strong coupling if the graviton mass…

High Energy Physics - Theory · Physics 2008-11-26 Julian B. Berchtold , Gunter Scharf

We generalise Phinney's 'practical theorem' to account for modified graviton dispersion relations motivated by certain cosmological scenarios. Focusing on specific examples, we show how such modifications can induce characteristic localised…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Bill Atkins , Ameek Malhotra , Gianmassimo Tasinato

The aim of these notes is to give an accessible and self-contained introduction to the theory of gravitational waves as the theory of a relativistic symmetric tensor field in a Minkowski background spacetime. This is the approach of a…

General Relativity and Quantum Cosmology · Physics 2017-05-17 Marco de Cesare , R. Oliveri , J. W. van Holten

In Einstein's general relativity (GR), gravity is described by a massless spin-2 metric field, and the extension of GR to include a mass term for the graviton has profound implication for gravitation and cosmology. Besides the gravity…

General Relativity and Quantum Cosmology · Physics 2021-03-23 Lijing Shao

The close agreement between the predictions of dynamical general relativity for the radiated power of a compact binary system and the observed orbital decay of the binary pulsars PSR B1913+16 and PSR B1534+12 allows us to bound the graviton…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Lee Samuel Finn , Patrick J. Sutton

It is shown that Birkhoff's theorem for the general theory of relativity is overcome in the $f(R)$-theory of gravitation. That means, the $f(R)$-theory of gravitation, unlike Einstein's general theory of relativity, does not forbid…

General Relativity and Quantum Cosmology · Physics 2024-04-18 Pham Van Ky , Nguyen Thi Hong Van , Nguyen Anh Ky
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