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An extreme mass ratio inspiral takes place when a compact stellar object is inspiraling into a supermassive black hole due to gravitational radiation reaction. Gravitational waves (GWs) from this system can be calculated using the Teukolsky…

General Relativity and Quantum Cosmology · Physics 2021-01-14 Viktor Skoupý , Georgios Lukes-Gerakopoulos

Gravitational wave astronomy has opened an unprecedented window onto tests of gravity and fundamental physics in the strong-field regime. In this study, we examine a series of well-motivated deviations from the classical Kerr solution of…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Zhe Zhao , Swarnim Shashank , Debtroy Das , Cosimo Bambi

The main aim of this study is the comparison of gravitational waveforms obtained from numerical simulations which employ different numerical evolution approaches and different wave-extraction techniques. For this purpose, we evolve an…

General Relativity and Quantum Cosmology · Physics 2009-03-11 Luca Baiotti , Sebastiano Bernuzzi , Giovanni Corvino , Roberto De Pietri , Alessandro Nagar

We describe in detail full numerical and perturbative techniques to compute the gravitational radiation from intermediate-mass-ratio black-hole-binary inspirals and mergers. We perform a series of full numerical simulations of nonspinning…

General Relativity and Quantum Cosmology · Physics 2010-12-23 Carlos O. Lousto , Hiroyuki Nakano , Yosef Zlochower , Manuela Campanelli

We present a numerical study of the evolution of a non-linearly disturbed black hole described by the Bondi--Sachs metric, for which the outgoing gravitational waves can readily be found using the news function. We compare the gravitational…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Andrea Nerozzi , Marco Bruni , Virginia Re , Lior M. Burko

We derive a set of coupled equations for the gravitational and electromagnetic perturbation in the Reissner-Nordstr\"om geometry using the Newman Penrose formalism. We show that the information of the physical gravitational signal is…

General Relativity and Quantum Cosmology · Physics 2021-04-26 Claudia Moreno , Juan Carlos Degollado , Darío Núñez , Carlos Rodriguez-Leal

Gravitational radiation is properly defined only at future null infinity ($\scri$), but in practice it is estimated from data calculated at a finite radius. We have used characteristic extraction to calculate gravitational radiation at…

General Relativity and Quantum Cosmology · Physics 2010-01-08 C. Reisswig , N. T. Bishop , D. Pollney , B. Szilagyi

We describe the hyperboloidal compactification for Teukolsky equations in Kerr spacetime. We include null infinity on the numerical grid by attaching a hyperboloidal layer to a compact domain surrounding the rotating black hole and the…

General Relativity and Quantum Cosmology · Physics 2011-12-13 Anıl Zenginoğlu , Gaurav Khanna

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 inspiral of a ``small'' ($\mu \sim 1-100 M_\odot$) compact body into a ``large'' ($M \sim 10^{5-7} M_\odot$) black hole is a key source of gravitational radiation for the space-based gravitational-wave observatory LISA. The waves from…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Scott A. Hughes

We develop a numerical code to compute gravitational waves induced by a particle moving on eccentric inclined orbits around a Kerr black hole. For such systems, the black hole perturbation method is applicable. The gravitational waves can…

General Relativity and Quantum Cosmology · Physics 2009-08-05 Ryuichi Fujita , Wataru Hikida , Hideyuki Tagoshi

The first spectral numerical simulations of 16 orbits, merger, and ringdown of an equal-mass non-spinning binary black hole system are presented. Gravitational waveforms from these simulations have accumulated numerical phase errors through…

General Relativity and Quantum Cosmology · Physics 2009-01-20 Mark A. Scheel , Michael Boyle , Tony Chu , Lawrence E. Kidder , Keith D. Matthews , Harald P. Pfeiffer

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 perform simulations of general relativistic rotating stellar core collapse and compute the gravitational waves (GWs) emitted in the core bounce phase of three representative models via multiple techniques. The simplest technique, the…

General Relativity and Quantum Cosmology · Physics 2011-03-22 Christian Reisswig , Christian D. Ott , Ulrich Sperhake , Erik Schnetter

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

The Cauchy problem is considered for the scalar wave equation in the Kerr geometry. We prove that by choosing a suitable wave packet as initial data, one can extract energy from the black hole, thereby putting supperradiance, the wave…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Felix Finster , Niky Kamran , Joel Smoller , Shing-Tung Yau

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

We numerically solve the inhomogeneous Zerilli-Moncrief and Regge-Wheeler equations in the time domain. We obtain the gravitational waveforms produced by a point-particle of mass $\mu$ traveling around a Schwarzschild black hole of mass M…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Karl Martel

We study parameter estimation of supermassive black hole binary systems in the final stage of inspiral using the full post-Newtonian gravitational waveforms. We restrict our analysis to systems in circular orbit with negligible spins, in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Miquel Trias , Alicia M. Sintes

Vacuum perturbations of the Kerr metric can be reconstructed from the corresponding perturbation in either of the two Weyl scalars $\psi_0$ or $\psi_4$, using a procedure described by Chrzanowski and others in the 1970s. More recent work,…

General Relativity and Quantum Cosmology · Physics 2016-12-06 Cesar Merlin , Amos Ori , Leor Barack , Adam Pound , Maarten van de Meent