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Related papers: Inspiraling black-hole binary spacetimes: Challeng…

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We present numerical simulations of orbiting black holes for around twelve cycles, using a high-order multipatch approach. Unlike some other approaches, the computational speed scales almost perfectly for thousands of processors. Multipatch…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Enrique Pazos , Manuel Tiglio , Matthew D. Duez , Lawrence E. Kidder , Saul A. Teukolsky

We lay the foundations for the construction of analytic expressions for Fourier-domain gravitational waveforms produced by eccentric, inspiraling compact binaries in a post-circular or small-eccentricity approximation. The time-dependent,…

General Relativity and Quantum Cosmology · Physics 2014-05-15 Nicolas Yunes , K. G. Arun , Emanuele Berti , Clifford M. Will

We apply standard post-Newtonian methods in general relativity to locate the innermost circular orbit (ICO) of irrotational and corotational binary black-hole systems. We find that the post-Newtonian series converges well when the two…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Luc Blanchet

Building initial conditions for generic binary black-hole evolutions without initial spurious eccentricity remains a challenge for numerical-relativity simulations. This problem can be overcome by applying an eccentricity-removal procedure…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Alessandra Buonanno , Lawrence E. Kidder , Abdul H. Mroué , Harald P. Pfeiffer , Andrea Taracchini

This paper studies the formation and evolution of binary supermassive black holes (SMBHs) in rotating galactic nuclei, focusing on the role of stellar dynamics. We present the first N-body simulations that follow the evolution of the SMBHs…

Astrophysics · Physics 2011-02-11 Ingo Berentzen , Miguel Preto , Peter Berczik , David Merritt , Rainer Spurzem

Research on extracting science from binary-black-hole (BBH) simulations has often adopted a "scattering matrix" perspective: given the binary's initial parameters, what are the final hole's parameters and the emitted gravitational waveform?…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Geoffrey Lovelace , Yanbei Chen , Michael Cohen , Jeffrey D. Kaplan , Drew Keppel , Keith D. Matthews , David A. Nichols , Mark A. Scheel , Ulrich Sperhake

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

We present single and binary black hole simulations that follow the moving puncture paradigm of simulating black-hole spacetimes without excision, and use moving boxes mesh refinement. Focussing on binary black hole configurations where the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bernd Bruegmann , Jose A. Gonzalez , Mark Hannam , Sascha Husa , Ulrich Sperhake , Wolfgang Tichy

We integrate the third and a half post-Newtonian equations of motion for a fully generic binary black hole system, allowing both for non-circular orbits, and for one or both of the black holes to spin, in any orientation. Using the second…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Brennan Ireland , Ofek Birnholtz , Hiroyuki Nakano , Eric West , Manuela Campanelli

The close limit approximation of binary black hole is a powerful method to study gravitational-wave emission from highly non-linear geometries. In this work, we use it as a tool to model black hole spacetimes in theories of gravity with a…

General Relativity and Quantum Cosmology · Physics 2021-12-22 Lorenzo Annulli

Solving the 4-d Einstein equations as evolution in time requires solving equations of two types: the four elliptic initial data (constraint) equations, followed by the six second order evolution equations. Analytically the constraint…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Matthew Anderson , Richard A. Matzner

Space-based gravitational-wave detectors such as LISA are expected to detect inspirals of stellar-mass compact objects into massive black holes. Modeling such inspirals requires fully relativistic computations to achieve sufficient accuracy…

General Relativity and Quantum Cosmology · Physics 2024-12-19 Viktor Skoupý , Vojtěch Witzany

Higher derivative extensions of Einstein gravity are important within the string theory approach to gravity and as alternative and effective theories of gravity. H. L\"u, A. Perkins, C. Pope, K. Stelle [Phys.Rev.Lett. 114 (2015), 171601]…

General Relativity and Quantum Cosmology · Physics 2023-07-10 K. Kokkotas , R. A. Konoplya , A. Zhidenko

In Kelly et al. [Phys. Rev. D, 76:024008, 2007], we presented new binary black-hole initial data adapted to puncture evolutions in numerical relativity. This data satisfies the constraint equations to 2.5 post-Newtonian order, and contains…

General Relativity and Quantum Cosmology · Physics 2010-05-25 Bernard J. Kelly , Wolfgang Tichy , Yosef Zlochower , Manuela Campanelli , Bernard Whiting

We investigate how GWs pass through the spacetime of a Schwarzschild black hole using time-domain numerical simulations. Our work is based on the perturbed 3+1 Einstein's equations up to the linear order. We show explicitly that our…

General Relativity and Quantum Cosmology · Physics 2022-12-29 Jian-hua He , Zhenyu Wu

We present an overview of recent developments in numerical relativity studies of higher dimensional spacetimes with a focus on time evolutions of black-hole systems. After a brief review of the numerical techniques employed for these…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Ulrich Sperhake

In this paper we develop a technique for determining the algebraic classification of a numerical spacetime, possibly resulting from a generic black-hole-binary merger, using the Newman-Penrose Weyl scalars. We demonstrate these techniques…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Manuela Campanelli , Carlos O. Lousto , Yosef Zlochower

We investigate the dynamics and gravitational-wave (GW) emission in the binary merger of equal-mass black holes as obtained from numerical relativity simulations. Results from the evolution of three sets of initial data are explored in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alessandra Buonanno , Gregory B. Cook , Frans Pretorius

Binary black holes with spins that are aligned with the orbital angular momentum do not precess. However, post-Newtonian calculations predict that "up-down" binaries, in which the spin of the heavier (lighter) black hole is aligned…

General Relativity and Quantum Cosmology · Physics 2021-03-10 Vijay Varma , Matthew Mould , Davide Gerosa , Mark A. Scheel , Lawrence E. Kidder , Harald P. Pfeiffer

For massive black hole binaries produced in galactic mergers, we examine the possibility of inspiral induced by interaction with field stars. We model the evolution of such binaries for a range of galaxy core and binary parameters, using…

Astrophysics · Physics 2010-11-01 Mohan Rajagopal , Roger W. Romani