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We present details of numerical simulations of the gravitational radiation produced by a first order thermal phase transition in the early universe. We confirm that the dominant source of gravitational waves is sound waves generated by the…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-08 Mark Hindmarsh , Stephan J. Huber , Kari Rummukainen , David J. Weir

In this work I use a frequency-domain Regge-Wheeler-Zerilli approach to compute the gravitational wave energy radiated by a compact body moving along a hyperbolic or parabolic geodesic of a Schwarzschild black hole. I compare my results…

General Relativity and Quantum Cosmology · Physics 2026-04-30 Niels Warburton

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

We study the generation and evolution of gravitational waves (tensor perturbations) in the context of Randall-Sundrum braneworld cosmology. We assume that the initial and final stages of the background cosmological model are given by de…

High Energy Physics - Theory · Physics 2009-11-11 Tsutomu Kobayashi , Takahiro Tanaka

A particle of mass $\mu$ moves on a circular orbit of a nonrotating black hole of mass $M$. Under the restrictions $\mu/M \ll 1$ and $v \ll 1$, where $v$ is the orbital velocity, we consider the gravitational waves emitted by such a binary…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Eric Poisson , Misao Sasaki

In previous works, we developed a perturbative extrapolation formula to obtain gravitational waves at infinity from binary black hole simulations, based on the Regge-Wheeler-Zerilli formalism. In practice, this formula was basically derived…

General Relativity and Quantum Cosmology · Physics 2015-08-21 Hiroyuki Nakano

We generalize, imposing the field equations only at dominant order, the Isaacson formula for the gravitational wave (GW) energy-momentum tensor (EMT) to the class of Horndeski theories in which the tensor modes travel at the speed of light…

General Relativity and Quantum Cosmology · Physics 2024-02-06 João C. Lobato , Maurício O. Calvão

Extracting the unique information on ultradense nuclear matter from the gravitational waves emitted by merging, neutron-star binaries requires robust theoretical models of the signal. We develop a novel effective-one-body waveform model…

We present expressions for the energy, linear momentum and angular momentum carried away from an isolated system by gravitational radiation based on spin-weighted spherical harmonics decomposition of the Weyl scalar $\Psi_4$. We also show…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Milton Ruiz , Miguel Alcubierre , Dario Nunez , Ryoji Takahashi

An effective energy tensor for gravitational radiation is identified for uniformly expanding flows of the Hawking mass-energy. It appears in an energy conservation law expressing the change in mass due to the energy densities of matter and…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Sean A. Hayward

Based upon the formalism recently developed by one of us (MS), we analytically perform the post-Newtonian expansion of gravitational waves from a test particle in circular orbit of radius $r_0$ around a Schwarzschild black hole of mass $M$.…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Hideyuki Tagoshi , Misao Sasaki

We investigate the gravitational energy-momentum distribution in the space-time of two black holes in circular orbit, in the context of the teleparallel equivalent of general relativity. This field configuration is important because…

General Relativity and Quantum Cosmology · Physics 2012-02-01 J. W. Maluf , S. C. Ulhoa , J. F. da Rocha-Neto

Recent years have seen the first production of "post-adiabatic" gravitational-waveform models based on second-order gravitational self-force theory. These models rely on calculations of an effective source in the perturbative second-order…

General Relativity and Quantum Cosmology · Physics 2026-03-05 Samuel D. Upton , Barry Wardell , Adam Pound , Niels Warburton , Leor Barack

We compute spectra, waveforms, angular distribution and total gravitational energy of the gravitiational radiation emitted during the radial infall of a massless particle into a Schwarzschild black hole. Our fully relativistic approach…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Vitor Cardoso , Jose' P. S. Lemos

We consider several tensorial wave equations, specifically the equations of Maxwell, Yang-Mills, and Weyl fields, posed on a curved spacetime, and we establish new energy inequalities under certain one-sided geometric conditions. Our…

General Relativity and Quantum Cosmology · Physics 2021-06-17 Annegret Y. Burtscher , James D. E. Grant , Philippe G. LeFloch

An accurate knowledge of the coalescing binary gravitational waveform is crucial for experimental searches as the ones performed by the LIGO-Virgo collaboration. Following an earlier paper by the same authors we refine the construction of…

General Relativity and Quantum Cosmology · Physics 2011-06-24 R. Sturani , S. Fischetti , L. Cadonati , G. M. Guidi , J. Healy , D. Shoemaker , A. Vicere'

To obtain the waveform template of gravitational waves (GWs), substantial computational resources and exceedingly high precision are often required. In the previous study [JCAP 11 (2023) 070], we efficiently and accurately calculate GW…

General Relativity and Quantum Cosmology · Physics 2024-07-25 Changkai Chen , Jiliang Jing

The orbit-averaged fluxes of energy and angular momentum generated by a compact binary system of nonspinning particles are obtained in a popular class of massless scalar-tensor theories with first-and-a-half post-Newtonian (1.5PN) accuracy,…

General Relativity and Quantum Cosmology · Physics 2025-07-31 David Trestini

The completion of a network of advanced laser-interferometric gravitational-wave observatories around 2001 will make possible the study of the inspiral and coalescence of binary systems of compact objects (neutron stars and black holes),…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Clifford M. Will

The orbital energy and momentum of the compact binary systems will loss due to gravitational radiation. Based on the mass and mass-current multipole moments of the binary system with the spin vector defined by Boh\'{e} et al. [Class.…

General Relativity and Quantum Cosmology · Physics 2024-02-06 Hao Zhang , Wei Gao , Guansheng He , Siming Liu , Huanyu Jia , Wenbin Lin