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During the last few years progress has been made on several fronts making it possible to revisit Cauchy-perturbative matching (CPM) in numerical relativity in a more robust and accurate way. This paper is the first in a series where we plan…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Burkhard Zink , Enrique Pazos , Peter Diener , Manuel Tiglio

A widespread solution-generating technique of general relativity consists of conformally transforming known `seed' solutions. It is shown that these new solutions always solve the field equations of a pathological Brans-Dicke theory.…

General Relativity and Quantum Cosmology · Physics 2019-09-10 Fayçal Hammad , Dilek K. Çiftci , Valerio Faraoni

Computational methods are essential to provide waveforms from coalescing black holes, which are expected to produce strong signals for the gravitational wave observatories being developed. Although partial simulations of the coalescence…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Maria C. Babiuc , Bela Szilagyi , Jeffrey Winicour

We present an approximate metric for a binary black hole spacetime to construct initial data for numerical relativity. This metric is obtained by asymptotically matching a post-Newtonian metric for a binary system to a perturbed…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Nicolas Yunes , Wolfgang Tichy , Benjamin J. Owen , Bernd Bruegmann

Using a post-Newtonian diagnostic tool developed by Mora and Will, we examine numerically generated quasiequilibrium initial data sets that have been used in recently successful numerical evolutions of binary black holes through plunge,…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Emanuele Berti , Sai Iyer , Clifford M. Will

Models of gravitational waveforms from coalescing black-hole binaries play a crucial role in the efforts to detect and interpret the signatures of those binaries in the data of large-scale interferometers. Here we summarize recent models…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Frank Ohme

An approximate solution to Einstein's equations representing two widely-separated non-rotating black holes in a circular orbit is constructed by matching a post-Newtonian metric to two perturbed Schwarzschild metrics. The spacetime metric…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Kashif Alvi

The detection of gravitational-wave signals from coalescing eccentric binary black holes would yield unprecedented information about the formation and evolution of compact binaries in specific scenarios, such as dynamical formation in dense…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Yoshinta Setyawati , Frank Ohme

Orbital eccentricity is a crucial physical effect to unveil the origin of compact-object binaries detected by ground- and spaced-based gravitational-wave (GW) observatories. Here, we perform for the first time a Bayesian inference study of…

General Relativity and Quantum Cosmology · Physics 2023-09-28 Antoni Ramos-Buades , Alessandra Buonanno , Jonathan Gair

Detecting binary black holes in interferometer data requires an accurate knowledge of the orbital phase evolution of the system. From the point of view of data analysis one also needs fast algorithms to compute the templates that will…

General Relativity and Quantum Cosmology · Physics 2007-05-23 T. Damour , B. R. Iyer , B. S. Sathyaprakash

Numerical approximation of a general class of nonlinear unidirectional wave equations with a convolution-type nonlocality in space is considered. A semi-discrete numerical method based on both a uniform space discretization and the discrete…

Numerical Analysis · Mathematics 2021-05-19 H. A. Erbay , S. Erbay , A. Erkip

Charged and/or rotating black holes in General Relativity feature Cauchy horizons, which indicate a breakdown of predictability in the theory. Focusing on spherically symmetric charged black holes, we remark that the inevitability of…

General Relativity and Quantum Cosmology · Physics 2025-06-27 Tomáš Hale , Robie A. Hennigar , David Kubiznak

We present a formalism for constructing quasi-equilibrium binary black hole initial data suitable for numerical evolution. We construct quasi-equilibrium models by imposing an approximate helical Killing symmetry appropriate for…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Hwei-Jang Yo , James N. Cook , Stuart L. Shapiro , Thomas W. Baumgarte

We study the properties of the outgoing gravitational wave produced when a non-spinning black hole is excited by an ingoing gravitational wave. Simulations using a numerical code for solving Einstein's equations allow the study to be…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yosef Zlochower , Roberto Gomez , Sascha Husa , Luis Lehner , Jeffrey Winicour

Several improvements in numerical methods and gauge choice are presented that make it possible now to perform simulations of the merger and ringdown phases of "generic" binary black-hole evolutions using the pseudo-spectral evolution code…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Béla Szilágyi , Lee Lindblom , Mark A. Scheel

The product of the areas of the event horizon and the Cauchy horizon of a non-extremal black hole equals the square of the area of the horizon of the black hole obtained from taking the smooth extremal limit. We establish this result for a…

High Energy Physics - Theory · Physics 2015-06-23 Kevin Goldstein , Vishnu Jejjala , Suresh Nampuri

Errors due to imperfect boundary conditions in numerical relativity simulations of binary black holes can produce unphysical reflections of gravitational waves which compromise the accuracy of waveform predictions, especially for…

General Relativity and Quantum Cosmology · Physics 2024-08-06 Luisa T. Buchman , Matthew D. Duez , Marlo Morales , Mark A. Scheel , Tim M. Kostersitz , Andrew M. Evans , Keefe Mitman

Excision techniques are used in order to deal with black holes in numerical simulations of Einstein equations and consist in removing a topological sphere containing the physical singularity from the numerical domain, applying instead…

General Relativity and Quantum Cosmology · Physics 2014-08-27 Isabel Cordero-Carrión , Nicolas Vasset , Jérôme Novak , José Luis Jaramillo

Computational techniques which establish the stability of an evolution-boundary algorithm for a model wave equation with shift are incorporated into a well-posed version of the initial-boundary value problem for gravitational theory in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Maria C. Babiuc , Bela Szilagyi , Jeffrey Winicour

We introduce a machine learning model designed to rapidly and accurately predict the time domain gravitational wave emission of non-precessing binary black hole coalescences, incorporating the effects of higher order modes of the multipole…

General Relativity and Quantum Cosmology · Physics 2024-04-29 Tim Grimbergen , Stefano Schmidt , Chinmay Kalaghatgi , Chris van den Broeck
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