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We present new techniqes for evolving binary black hole systems which allow the accurate determination of gravitational waveforms directly from the wave zone region of the numerical simulations. Rather than excising the black hole…

General Relativity and Quantum Cosmology · Physics 2008-11-26 John G. Baker , Joan Centrella , Dae-Il Choi , Michael Koppitz , James van Meter

We present analytic calculations of gravitational waves from a particle orbiting a black hole. We first review the Teukolsky formalism for dealing with the gravitational perturbation of a black hole. Then we develop a systematic method to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yasushi Mino , Misao Sasaki , Masaru Shibata , Hideyuki Tagoshi , Takahiro Tanaka

We present a method for extracting gravitational waves from numerical spacetimes which generalizes and refines one of the standard methods based on the Regge--Wheeler--Zerilli perturbation formalism. [abridged] We then present fully…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Enrique Pazos , Ernst Nils Dorband , Alessandro Nagar , Carlos Palenzuela , Erik Schnetter , Manuel Tiglio

Two complementary techniques are developed for obtaining the asymptotic form of gravitational-wave data at large radii from numerical simulations, in the form of easily implemented algorithms. It is shown that, without extrapolation,…

General Relativity and Quantum Cosmology · Physics 2010-01-07 Michael Boyle , Abdul H. Mroué

We derive an analytical expression for extracting the gravitational waveforms at null infinity using the Weyl scalar $\psi_4$ measured at a finite radius. Our expression is based on a series solution in orders of 1/r to the equations for…

General Relativity and Quantum Cosmology · Physics 2015-06-11 H. Nakano , J. Healy , C. O. Lousto , Y. Zlochower

We present a new approach to solve the 2+1 Teukolsky equation for gravitational perturbations of a Kerr black hole. Our approach relies on a new horizon penetrating, hyperboloidal foliation of Kerr spacetime and spatial compactification. In…

General Relativity and Quantum Cosmology · Physics 2014-11-26 Enno Harms , Sebastiano Bernuzzi , Alessandro Nagar , Anil Zenginoglu

Recently, we proposed an enhancement of the Regge-Wheeler-Zerilli formalism for first-order perturbations about a Schwarzschild background that includes first-order corrections due to the background black-hole spin. Using this formalism, we…

General Relativity and Quantum Cosmology · Physics 2011-06-17 Hiroyuki Nakano , Manuela Campanelli , Carlos O. Lousto , Yosef Zlochower

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

To fully exploit the capabilities of next-generation gravitational wave detectors, we need to significantly improve the accuracy of our models of gravitational-wave-emitting systems. This paper focuses on one way of doing so: by taking…

General Relativity and Quantum Cosmology · Physics 2023-06-07 Andrew Spiers , Adam Pound , Jordan Moxon

Using the Teukolsky and Sasaki-Nakamura equations for the gravitational perturbation of the Kerr spacetime, we calculate the post-Newtonian expansion of the energy and angular momentum luminosities of gravitational waves from a test…

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

It is well known that Teukolsky equation of gravitational perturbations provides a powerful tool for the investigation of the ringdown phase of a binary black hole merger, but it is applicable only for final configurations in the Kerr…

General Relativity and Quantum Cosmology · Physics 2020-12-08 Zhong-Heng Li

Using the Teukolsky and Sasaki-Nakamura formalisms for the perterbations around a Kerr black hole, we calculate the energy flux of gravitational waves induced by a {\it spinning} particle of mass $\mu$ and spin $S$ moving in circular orbits…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Takahiro Tanaka , Yasushi Mino , Misao Sasaki , Masaru Shibata

Gravitational waves exhibit the unique signature of their spin-2 nature in processes of wave scattering, due to the interaction between spin and a background spacetime. Since the spin effect is more pronounced for longer wavelengths and…

General Relativity and Quantum Cosmology · Physics 2024-12-09 Kei-ichiro Kubota , Shun Arai , Hayato Motohashi , Shinji Mukohyama

We present a new method for the calculation of black hole perturbations induced by extended sources in which the solution of the nonlinear hydrodynamics equations is coupled to a perturbative method based on Regge-Wheeler/Zerilli and…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Valeria Ferrari , Leonardo Gualtieri , Luciano Rezzolla

We present convergent gravitational waveforms extracted from three-dimensional, numerical simulations in the wave zone and with causally disconnected boundaries. These waveforms last for multiple periods and are very accurate, showing a…

General Relativity and Quantum Cosmology · Physics 2009-11-11 David R. Fiske , John G. Baker , James R. van Meter , Dae-Il Choi , Joan M. Centrella

We present a framework to propagate to null infinity gravitational waves computed at timelike worldtubes in the interior of a 3+1 (Cauchy) numerical relativity simulations. In our method, numerical relativity data are used as the inner…

General Relativity and Quantum Cosmology · Physics 2025-09-25 Sebastiano Bernuzzi , Joan Fontbuté , Simone Albanesi , Anil Zenginoğlu

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

A relativistic model for the emission of gravitational waves from an initially unperturbed Schwarzschild black hole, or spherical collapsing configuration, is completely integrated. The model consists basically of gravitational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. C. Lima , I. Damião Soares

We present numerical waveforms of gravitational-wave echoes from spinning exotic compact objects (ECOs) that result from binary black hole coalescence. We obtain these echoes by solving the Teukolsky equation for the $\psi_4$ associated…

General Relativity and Quantum Cosmology · Physics 2021-11-10 Shuo Xin , Baoyi Chen , Rico K. L. Lo , Ling Sun , Wen-Biao Han , Xingyu Zhong , Manu Srivastava , Sizheng Ma , Qingwen Wang , Yanbei Chen

We perform a comprehensive study of gravitational waves in the context of the higher-order quadratic scalar curvature gravity, which encompasses the ordinary Einstein-Hilbert term in the action plus an $R^{2}$ contribution and a term of the…

General Relativity and Quantum Cosmology · Physics 2022-12-06 S. G. Vilhena , L. G. Medeiros , R. R. Cuzinatto
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