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We report on a new 3D numerical code designed to solve the Einstein equations for general vacuum spacetimes. This code is based on the standard 3+1 approach using cartesian coordinates. We discuss the numerical techniques used in developing…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Peter Anninos , Karen Camarda , Joan Masso , Edward Seidel , Wai-Mo Suen , John Towns

We determine hidden conformal symmetries behind the evolution equations of black hole perturbations in a vector-tensor theory of gravity. Such hidden symmetries are valid everywhere in the exterior region of a spherically symmetric,…

General Relativity and Quantum Cosmology · Physics 2023-12-04 Bill Atkins , Gianmassimo Tasinato

Pulsar timing arrays are sensitive to gravitational wave perturbations produced by individual supermassive black hole binaries during their early inspiral phase. Modified gravity theories allow for the emission of gravitational dipole…

General Relativity and Quantum Cosmology · Physics 2019-07-03 Logan O'Beirne , Neil J. Cornish , Sarah J. Vigeland , Stephen R. Taylor

We consider general relativistic Cauchy data representing two nonspinning, equal-mass black holes boosted toward each other. When the black holes are close enough to each other and their momentum is sufficiently high, an encompassing…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Andrew M. Abrahams , Gregory B. Cook

We present a novel approach, $\textit{Metric pErTuRbations wIth speCtral methodS}$ (METRICS), to calculate the gravitational metric perturbations and the quasinormal-mode frequencies of rotating black holes of any spin without decoupling…

General Relativity and Quantum Cosmology · Physics 2024-03-05 Adrian Ka-Wai Chung , Pratik Wagle , Nicolas Yunes

Modifications to general relativity lead to effects in the spectrum of quasi-normal modes of black holes. In this paper, we develop a parametrized formalism to describe deviations from general relativity in the Teukolsky equation, which…

General Relativity and Quantum Cosmology · Physics 2024-10-31 Pablo A. Cano , Lodovico Capuano , Nicola Franchini , Simon Maenaut , Sebastian H. Völkel

In this analysis, we investigate the polarization radiation imaging of Kerr-Newman black holes, with a particular focus on the impact of black hole charge on photon propagation and polarization characteristics. By extending the traditional…

General Relativity and Quantum Cosmology · Physics 2026-04-10 Xin Li , Sen Guo , Pei Wang , En-Wei Liang , Huan Deng , Yu Liang , Xiao-Xiong Zeng , Kai Lin , Qing-Quan Jiang

We compute numerically the quasinormal modes of Kerr-Newman black holes in the scalar case, for which the perturbation equations are separable. Then we study different approximations to decouple electromagnetic and gravitational…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Emanuele Berti , Kostas D. Kokkotas

It is known that linearized perturbations of extremal black holes result in growing curvature on the horizon. However, nonlinear perturbations typically do not evolve to extremal black holes and do not have growing curvature at late times.…

High Energy Physics - Theory · Physics 2025-10-23 Gary T. Horowitz , Maciej Kolanowski , Jorge E. Santos

We revisit the question of the imposition of initial data representing astrophysical gravitational perturbations of black holes. We study their dynamics for the case of nonrotating black holes by numerically evolving the Teukolsky equation…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Manuela Campanelli , William Krivan , Carlos O. Lousto

We perform both distorted black hole evolutions and binary black hole head on collisions and compare the results of using a full grid to results obtained by excising the black hole interiors. In both cases the evolutions are found to run…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Miguel Alcubierre , Bernd Bruegmann , Peter Diener , Frank Herrmann , Denis Pollney , Edward Seidel , Ryoji Takahashi

Supported by the use of a regular scalar field we find a black hole solution in the Einstein-Gauss-Bonnet model. From the obtained solution we can recover the Schwarzschild black hole as in other works. Later, by implementing the odd parity…

General Relativity and Quantum Cosmology · Physics 2019-07-16 Gilberto Aguilar-Pérez , Miguel Cruz , Samuel Lepe , Israel Moran-Rivera

Inspiralling and coalescing binary black holes are promising sources of gravitational radiation. The orbital motion and gravitational-wave emission of such system can be modelled using a variety of approximation schemes and numerical…

General Relativity and Quantum Cosmology · Physics 2014-10-06 Alexandre Le Tiec

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

Gravitational perturbations about a Kerr black hole in the Newman-Penrose formalism are concisely described by the Teukolsky equation. New numerical methods for studying the evolution of such perturbations require not only the construction…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Manuela Campanelli , Carlos O. Lousto

The most general bound binary black hole (BBH) system has an eccentric orbit and precessing spins. The detection of such a system with significant eccentricity close to the merger would be a clear signature of dynamical formation. In order…

General Relativity and Quantum Cosmology · Physics 2025-12-12 Khun Sang Phukon , Nathan K. Johnson-McDaniel , Amitesh Singh , Anuradha Gupta

Employing higher order perturbation theory, we find a new class of perturbative extremal rotating black hole solutions with Born-Infeld electric charge in odd D-dimensional spacetime. The seed solution is an odd dimensional extremal…

General Relativity and Quantum Cosmology · Physics 2014-03-21 Masoud Allahverdizadeh , Seyed H. Hendi , José P. S. Lemos , Ahmad Sheykhi

The metric of a tidally distorted, nonrotating black hole is presented in a light-cone coordinate system that penetrates the event horizon and possesses a clear geometrical meaning. The metric is expressed as an expansion in powers of r/R…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Eric Poisson

The conformally flat families of initial data typically used in numerical relativity to represent boosted black holes are not those of a boosted slice of the Schwarzschild spacetime. If such data are used for each black hole in a collision,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Reinaldo Gleiser , Gaurav Khanna , Jorge Pullin

We present techniques for long-term, stable, and accurate evolutions of multiple-black-hole spacetimes using the `moving puncture' approach with fourth- and eighth-order finite difference stencils. We use these techniques to explore…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Carlos O. Lousto , Yosef Zlochower
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