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The explicit form of perturbation equation for the $\Psi_4$ Weyl scalar, containing the matter source terms, is derived for general type D spacetimes. It is described in detail the particular case of the Schwarzschild spacetime using…

General Relativity and Quantum Cosmology · Physics 2011-02-19 Juan Carlos Degollado , Dario Nunez , Carlos Palenzuela

High-accuracy binary black hole simulations are presented for black holes with spins anti-aligned with the orbital angular momentum. The particular case studied represents an equal-mass binary with spins of equal magnitude S/m^2=0.43757 \pm…

General Relativity and Quantum Cosmology · Physics 2010-01-08 Tony Chu , Harald P. Pfeiffer , Mark A. Scheel

Nonspherical stellar collapse to a black hole is one of the most promising gravitational wave sources for gravitational wave detectors. We numerically study gravitational waves from a slightly nonspherical stellar collapse to a black hole…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Tomohiro Harada , Hideo Iguchi , Masaru Shibata

The waveforms from binary black hole mergers include inspiral, merger, and ringdown parts. Usually, the inspiral waveform can be obtained by calibrating from post-Newtonian approximation; The merger and ringdown ones can be gotten from the…

General Relativity and Quantum Cosmology · Physics 2022-11-15 Song Li , Wen-Biao Han

We solve the problem of expressing the Weyl scalars $\psi $ that describe gravitational perturbations of a Kerr black hole in terms of Cauchy data. To do so we use geometrical identities (like the Gauss-Codazzi relations) as well as…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Manuela Campanelli , Carlos O. Lousto , John Baker , Gaurav Khanna , Jorge Pullin

We consider binary systems of coalescing, nonspinning, black holes of masses $m_{1}$ and $m_{2}$ and show that the gravitational recoil velocity for any mass ratio can be obtained accurately by extrapolating the waveform of the test-mass…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Alessandro Nagar

In this project, we simulate the collision of two and three black holes using NRPy+ (`Python-based code generation for numerical relativity and beyond') module and BSSN (Baumgarte-Shapiro-Shibata-Nakamura) formulation, and extract the…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Faisal Alotaibi

Given the absence of observations of black hole binaries, it is critical that the full range of accessible parameter space be explored in anticipation of future observation with gravitational wave detectors. To this end, we compile the…

General Relativity and Quantum Cosmology · Physics 2011-07-29 Janna Levin , Sean T. McWilliams , Hugo Contreras

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

Quasi-periodic oscillations of high density thick accretion disks orbiting a Schwarzschild black hole have been recently addressed as interesting sources of gravitational waves. The aim of this paper is to compare the gravitational…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alessandro Nagar , Jose A. Font , Olindo Zanotti , Roberto De Pietri

Gravitational waves from precessing black-hole binaries exhibit features that are absent in nonprecessing systems. The most prominent of these is a parity-violating asymmetry that beams energy and linear momentum preferentially along or…

General Relativity and Quantum Cosmology · Physics 2014-09-24 Michael Boyle , Lawrence E. Kidder , Serguei Ossokine , Harald P. Pfeiffer

Characterizing the properties of black holes is one of the most important science objectives for gravitational-wave observations. Astrophysical evidence suggests that black holes that are nearly extremal (i.e. spins near the theoretical…

In this second paper of our series started with \cite{Berens2024}, we investigate linearized gravitational perturbations of a rotating Kerr black hole in a non-asymptotically flat spacetime with (anti-)de Sitter boundary conditions. Here,…

General Relativity and Quantum Cosmology · Physics 2025-10-10 Roman Berens , Trevor Gravely , Alexandru Lupsasca

Perturbation theory of rotating black holes is described in terms of the Weyl scalars $\psi_4$ and $\psi_0$; each satisfying the Teukolsky's complex master wave equation with spin $s=\mp2$, and respectively representing outgoing and ingoing…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Carlos O. Lousto

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

Numerical relativity simulations provide a full description of the dynamics of binary systems, including gravitational radiation. The waveforms produced by these simulations have a number of applications in gravitational-wave detection and…

General Relativity and Quantum Cosmology · Physics 2025-10-09 Taylor Knapp , Katerina Chatziioannou , Keefe Mitman , Mark A. Scheel , Michael Boyle , Lawrence E. Kidder , Harald Pfeiffer

With the improvement in sensitivity of gravitational wave (GW) detectors and the increasing diversity of GW sources, there is a strong need for accurate GW waveform models for data analysis. While the current model accuracy assessments…

General Relativity and Quantum Cosmology · Physics 2022-08-22 Qian Hu , John Veitch

Gravitational waves from the explosive merger of distant black holes are encoded with details regarding the complex extreme-gravity spacetime present at their source. Famously described by the Kerr spacetime metric for rotating black holes…

General Relativity and Quantum Cosmology · Physics 2020-04-29 Zack Carson , Kent Yagi

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

We present a method for extracting gravitational radiation from a three-dimensional numerical relativity simulation and, using the extracted data, to provide outer boundary conditions. The method treats dynamical gravitational variables as…