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We regard binary black hole (BBH) merger as a map from a simple initial state (two Kerr black holes, with dimensionless spins {\bf a} and {\bf b}) to a simple final state (a Kerr black hole with mass m, dimensionless spin {\bf s}, and kick…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Latham Boyle , Michael Kesden , Samaya Nissanke

We present a new pseudo-spectral code for the simulation of evolution systems that are second order in space. We test this code by evolving a non-linear scalar wave equation. These non-linear waves can be stably evolved using very simple…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Wolfgang Tichy

Realistic black hole collisions result in a rapidly rotating Kerr hole, but simulations to date have focused on nonrotating final holes. Using a new solution of the Einstein initial value equations we present here waveforms and radiation…

General Relativity and Quantum Cosmology · Physics 2010-11-19 W. Krivan , R. H. Price

Binary black holes may form both through isolated binary evolution and through dynamical interactions in dense stellar environments. The formation channel leaves an imprint on the alignment between the black hole spins and the orbital…

High Energy Astrophysical Phenomena · Physics 2018-04-12 Simon Stevenson , Christopher P. L. Berry , Ilya Mandel

Traditional black-hole binary puncture initial data is conformally flat. This unphysical assumption is coupled with a lack of radiation signature from the binary's past life. As a result, waveforms extracted from evolutions of this data…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Bruno C. Mundim , Bernard J. Kelly , Yosef Zlochower , Hiroyuki Nakano , Manuela Campanelli

In this work we present our first results of binary black hole circular orbits using {\sc cocal}, the Compact Object CALculator. Using the 3+1 decomposition five equations are being solved under the assumptions of conformal flatness and…

General Relativity and Quantum Cosmology · Physics 2016-03-04 Antonios Tsokaros , Koji Uryu

On the lines of the 4-dimensional Kerr black hole we consider the particle acceleration near a 5-dimensional Kerr black hole which has the two rotation parameters. It turns out that the center of mass energy of the two equal mass colliding…

General Relativity and Quantum Cosmology · Physics 2013-12-12 Ahmadjon Abdujabbarov , Naresh Dadhich , Bobomurat Ahmedov , Husan Eshkuvatov

We use the Kerr-Schild type Teukolsky equation (horizon penetrating) to evolve binary black hole initial data as proposed by Bishop {\em et al.} in the close limit. Our results are in agreement with those recently obtained by Sarbach {\em…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Gaurav Khanna

We investigate the energy of the gravitational wave from a binary black hole merger by the coalescence of two Kerr black holes with an orbital angular momentum. The coalescence is constructed to be consistent with particle absorption in the…

General Relativity and Quantum Cosmology · Physics 2019-10-22 Bogeun Gwak

We introduce a gravitational waveform inversion strategy that discovers mechanical models of binary black hole (BBH) systems. We show that only a single time series of (possibly noisy) waveform data is necessary to construct the equations…

General Relativity and Quantum Cosmology · Physics 2021-11-10 Brendan Keith , Akshay Khadse , Scott E. Field

The standard approach to the numerical evolution of black hole data using the ADM formulation with maximal slicing and vanishing shift is extended to non-symmetric black hole data containing black holes with linear momentum and spin by…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bernd Bruegmann

Recent efforts to numerically simulate compact objects in alternative theories of gravity have largely focused on the time-evolution equations. Another critical aspect is the construction of constraint-satisfying initial data with precise…

General Relativity and Quantum Cosmology · Physics 2025-03-06 Peter James Nee , Guillermo Lara , Harald P. Pfeiffer , Nils L. Vu

We describe a grid generation procedure designed to construct new classes of orthogonal coordinate systems for binary black hole spacetimes. The computed coordinates offer an alternative approach to current methods, in addition to providing…

General Relativity and Quantum Cosmology · Physics 2009-10-30 P. Anninos , S. R. Brandt , P. Walker

Gravitational wave observations of eccentric binary black hole mergers will provide unequivocal evidence for the formation of these systems through dynamical assembly in dense stellar environments. The study of these astrophysically…

General Relativity and Quantum Cosmology · Physics 2019-09-06 E. A. Huerta , Roland Haas , Sarah Habib , Anushri Gupta , Adam Rebei , Vishnu Chavva , Daniel Johnson , Shawn Rosofsky , Erik Wessel , Bhanu Agarwal , Diyu Luo , Wei Ren

We analyse flows around a rotating black hole and obtain self-consistent accretion-ejection solutions in full general relativistic prescription. Entire energy-angular momentum parameter space is investigated in the advective regime to…

High Energy Astrophysical Phenomena · Physics 2017-06-28 Rajiv Kumar , Indranil Chattopadhyay

Vector-tensor theories beyond General Relativity have widely been studied in the context of ultraviolet completion of gravity, endowing a mass to the graviton and explaining dark energy phenomena. We here construct rotating black hole…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Siddarth Ajith , Alexander Saffer , Kent Yagi

The interaction of binary black hole mergers with their environments can be studied using numerical relativity simulations. These start only a short finite time before merger, at which point appropriate initial conditions must be imposed. A…

General Relativity and Quantum Cosmology · Physics 2025-03-03 Jamie Bamber , Josu C. Aurrekoetxea , Katy Clough , Pedro G. Ferreira

The last evolutionary stages of massive black hole binaries prior to coalescence is dominated by the emission of gravitational waves, which will be probed by the future Laser Interferometer Space Antenna. If gas is present around the two…

High Energy Astrophysical Phenomena · Physics 2026-03-25 Giacomo Fedrigo , Alessandro Lupi , Alessia Franchini , Matteo Bonetti

We have developed a numerical method for evolving perturbations of rotating black holes. Solutions are obtained by integrating the Teukolsky equation written as a first-order in time, coupled system of equations, in a form that explicitly…

General Relativity and Quantum Cosmology · Physics 2007-05-23 W. Krivan , P. Laguna , P. Papadopoulos

We analytically solve the constraints in General Relativity for two black holes with arbitrary momenta and spin up to third order in these parameters. We compute the location and geometry of the apparent horizon, which depend on the spins,…

General Relativity and Quantum Cosmology · Physics 2025-09-16 Leyla Ogurol , Tore Boybeyi , Bayram Tekin
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