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We peform a study of gravitational waves emitted by inspiraling black holes in the context of quadratic gravity. By linearizing the field equations around a flat background, we demonstrate that all degrees of freedom satisfy wave-like…

General Relativity and Quantum Cosmology · Physics 2023-02-13 Matheus F. S. Alves , Luís F. M. A. M. Reis , L. G. Medeiros

We apply common gravitational wave inference procedures on binary black hole merger waveforms beyond general relativity. We consider dynamical Chern-Simons gravity, a modified theory of gravity with origins in string theory and loop quantum…

General Relativity and Quantum Cosmology · Physics 2023-02-02 Maria Okounkova , Maximiliano Isi , Katerina Chatziioannou , Will M. Farr

Binary black holes radiate linear momentum in gravitational waves as they merge. Recoils imparted to the black-hole remnant can reach thousands of km/s, thus ejecting black holes from their host galaxies. We exploit recent advances in…

General Relativity and Quantum Cosmology · Physics 2018-05-30 Davide Gerosa , François Hébert , Leo C. Stein

We revisit the problem of gravitational-wave extraction in numerical relativity with gauge-invariant metric perturbation theory of spherical spacetimes. Our extraction algorithm allows the computation of even-parity (Zerilli-Moncrief) and…

General Relativity and Quantum Cosmology · Physics 2025-08-07 Joan Fontbuté , Sebastiano Bernuzzi , Simone Albanesi , David Radice , Alireza Rashti , William Cook , Boris Daszuta , Alessandro Nagar

Accurate extractions of the detected gravitational wave (GW) signal waveforms are essential to validate a detection and to probe the astrophysics behind the sources producing the GWs. This however could be difficult in realistic scenarios…

General Relativity and Quantum Cosmology · Physics 2021-09-20 Chayan Chatterjee , Linqing Wen , Foivos Diakogiannis , Kevin Vinsen

We present a fully nonlinear calculation of the waveform of the gravitational radiation emitted in the fission of a vacuum white hole. At early times, the waveforms agree with close-approximation perturbative calculations but they reveal…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Roberto Gomez , Sascha Husa , Luis Lehner , Jeffrey Winicour

Largely motivated by the development of highly sensitive gravitational-wave detectors, our understanding of merging compact binaries and the gravitational waves they generate has improved dramatically in recent years. Breakthroughs in…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-15 Scott A. Hughes

Gravitational waves from the inspiral of a stellar-size black hole to a supermassive black hole can be accurately approximated by a point particle moving in a Kerr background. This paper presents progress on finding the electromagnetic and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Tobias S. Keidl , John L. Friedman , Alan G. Wiseman

A pair of wave equations for the electromagnetic and gravitational perturbations of the charged Kerr black hole are derived. The perturbed Einstein-Maxwell equations in a new gauge are employed in the derivation. The wave equations refer to…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Zoltán Perjés , Mátyás Vasúth

We analytically compute time domain gravitational waveforms produced in the final stages of extreme mass ratio inspirals of non-spinning compact objects into supermassive nearly extremal Kerr black holes. Conformal symmetry relates all…

General Relativity and Quantum Cosmology · Physics 2019-10-17 Geoffrey Compère , Kwinten Fransen , Thomas Hertog , Jiang Long

We derive a gauge inspired combinatorial formula based on localization for the Post-Newtonian expansion of the gravitational wave form luminosity of binary systems made of objects with very different masses orbiting at large distances and…

General Relativity and Quantum Cosmology · Physics 2024-02-22 Francesco Fucito , Jose Francisco Morales

This paper reviews the basic features of the theory of curvature perturbations in Kerr spacetime, which is customarily written in terms of gauge invariant components of the Weyl tensor which satisfy a perturbation equation known as the…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Ramon Lopez-Aleman

A particle of mass $\mu$ moves on a circular orbit around a nonrotating black hole of mass $M$. Under the assumption $\mu \ll M$ the gravitational waves emitted by such a binary system can be calculated exactly numerically using black-hole…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Eric Poisson

We derive a relativistic field equation for the trace of the metric perturbation beyond the weak field approximation to the Einstein field equations. The dynamics is governed by a massive Klein-Gordon equation on curved space-time, where…

General Physics · Physics 2025-05-02 Victor Atanasov , Avadh Saxena

Black hole perturbation theory on spherically symmetric backgrounds has been instrumental in establishing various aspects about the gravitational dynamics close to black holes, and continues to be an interesting avenue to confront current…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Gowtham Rishi Mukkamala , David Pereñiguez

Accurate parameter estimation of gravitational waves from coalescing compact binary sources is a key requirement for gravitational-wave astronomy. Evaluating the posterior probability density function of the binary's parameters (component…

High Energy Astrophysical Phenomena · Physics 2015-06-12 R. J. E. Smith , K. Cannon , C. Hanna , D. Keppel , I. Mandel

The linear perturbation of the Kerr black hole has been discussed by using the Newman--Penrose and the perturbed Weyl scalars, $\psi_0$ and $\psi_4$ can be obtained from the Teukolsky equation. In order to obtain the other Weyl scalars and…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Yasumichi Sano , Hideyuki Tagoshi

A general method is presented for estimating the uncertainty in hybrid models of gravitational waveforms from binary black-hole systems with arbitrary physical parameters, and thence the highest allowable initial orbital frequency for a…

General Relativity and Quantum Cosmology · Physics 2011-10-10 Michael Boyle

Perturbations of Kerr spacetime are typically studied with the Teukolsky formalism, in which a pair of invariant components of the perturbed Weyl tensor are expressed in terms of separable modes that satisfy ordinary differential equations.…

General Relativity and Quantum Cosmology · Physics 2022-04-13 Sam R. Dolan , Chris Kavanagh , Barry Wardell

Modeling the stochastic gravitational wave background from various astrophysical sources is a key objective in view of upcoming observations with ground- and space-based gravitational wave observatories such as Advanced LIGO, VIRGO, eLISA…

High Energy Astrophysical Phenomena · Physics 2016-12-07 Irina Dvorkin , Jean-Philippe Uzan , Elisabeth Vangioni , Joseph Silk