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We describe early success in the evolution of binary black hole spacetimes with a numerical code based on a generalization of harmonic coordinates. Indications are that with sufficient resolution this scheme is capable of evolving binary…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Frans Pretorius

We present a fully nonlinear calculation of the waveform of the gravitational radiation emitted in the fission of a vacuum white hole. At early times, the waveforms agree with close-approximation perturbative calculations but they reveal…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Roberto Gomez , Sascha Husa , Luis Lehner , Jeffrey Winicour

We propose a new approach toward reconstructing the late-time near-horizon geometry of merging binary black holes, and toward computing gravitational-wave echoes from exotic compact objects. A binary black-hole merger spacetime can be…

General Relativity and Quantum Cosmology · Physics 2022-05-06 Sizheng Ma , Qingwen Wang , Nils Deppe , François Hébert , Lawrence E. Kidder , Jordan Moxon , William Throwe , Nils L. Vu , Mark A. Scheel , Yanbei Chen

I review the development of numerical evolution codes for general relativity based upon the characteristic initial value problem. Progress is traced from the early stage of 1D feasibility studies to 2D axisymmetric codes that accurately…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Jeffrey Winicour

Since the initial discovery of gravitational-waves from merging black holes, the LIGO Scientific Collaboration together with Virgo and KAGRA have published 90 gravitational-wave observations of compact binary mergers in the…

General Relativity and Quantum Cosmology · Physics 2022-09-09 Vera Del Favero

We present a prescription for computing gravitational waveforms for the inspiral, merger and ringdown of non-spinning eccentric binary black hole systems. The inspiral waveform is computed using the post-Newtonian expansion and the merger…

General Relativity and Quantum Cosmology · Physics 2018-08-15 Ian Hinder , Lawrence E. Kidder , Harald P. Pfeiffer

We give full details regarding the new Cauchy-characteristic evolution (CCE) system in SpECTRE. The implementation is built to provide streamlined flexibility for either extracting waveforms during the process of a SpECTRE binary compact…

General Relativity and Quantum Cosmology · Physics 2021-10-19 Jordan Moxon , Mark A. Scheel , Saul A. Teukolsky , Nils Deppe , Nils Fischer , Francois Hébert , Lawrence E. Kidder , William Throwe

We perform a statistical analysis of the binary black hole problem in the post-Newtonian approximation by systematically sampling and evolving the parameter space of initial configurations for quasi-circular inspirals. Through a principal…

General Relativity and Quantum Cosmology · Physics 2010-12-06 Chad R. Galley , Frank Herrmann , John Silberholz , Manuel Tiglio , Gustavo Guerberoff

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

We study dynamics and radiation generation in the last few orbits and merger of a binary black hole system, applying recently developed techniques for simulations of moving black holes. Our analysis of the gravitational radiation waveforms…

General Relativity and Quantum Cosmology · Physics 2008-11-26 John G. Baker , Joan Centrella , Dae-Il Choi , Michael Koppitz , James van Meter

We perform several black-hole binary evolutions using fully nonlinear numerical relativity techniques at separations large enough that low-order post-Newtonian expansions are expected to be accurate. As a case study, we evolve an equal-mass…

General Relativity and Quantum Cosmology · Physics 2013-07-04 Carlos O. Lousto , Yosef Zlochower

Gravitational wave observations of binary black hole mergers probe their astrophysical origins via the binary spin, namely the spin magnitudes and directions of each component black hole, together described by six degrees of freedom.…

General Relativity and Quantum Cosmology · Physics 2024-05-15 Simona J. Miller , Zoe Ko , Thomas A. Callister , Katerina Chatziioannou

Globular clusters (GCs) are crucial for studying stellar dynamics and galactic structure, yet precise measurements of their distances and masses are often limited by uncertainties in electromagnetic (EM) observations. We present a novel…

General Relativity and Quantum Cosmology · Physics 2025-08-07 Jie Wu , Yao Xiao , Mengfei Sun , Jin Li

Gravitational wave (GW) astronomy has consolidated its role as a new observational window to reveal the properties of compact binaries in the Universe. In particular, the discovery of the first binary neutron star coalescence, GW170817, led…

General Relativity and Quantum Cosmology · Physics 2018-12-26 Anuradha Samajdar , Tim Dietrich

We present a study of the gravitational waveforms from a series of spinning, equal-mass black hole binaries focusing on the harmonic content of the waves and the contribution of the individual harmonics to the signal-to-noise ratio. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Deirdre Shoemaker , Birjoo Vaishnav , Ian Hinder , Frank Herrmann

We present a highly accurate, fully analytical model for the late inspiral, merger, and ringdown of black-hole binaries with arbitrary mass ratios and spin vectors, including the contributions of harmonics beyond the fundamental mode. This…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Sean T. McWilliams

We present a semi-analytical binary black hole (BBH) metric approximation that models the entire evolution of the system from inspiral to merger. The metric is constructed as a boosted Kerr-Schild superposition following post-Newtonian (PN)…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Luciano Combi , Sean M. Ressler

A fully relativistic three-dimensional Cauchy-characteristic matching (CCM) algorithm is implemented for physical degrees of freedom in a numerical relativity code SpECTRE. The method is free of approximations and can be applied to any…

We consider the Cauchy problem for the wave equation in a general class of spherically symmetric black hole geometries. Under certain mild conditions on the far-field decay and the singularity, we show that there is a unique globally smooth…

General Relativity and Quantum Cosmology · Physics 2011-09-14 Matthew P. Masarik

We use null hypersurface techniques in a new approach to calculate the retarded waveform from a binary black hole merger in the close approximation. The process of removing ingoing radiation from the system leads to two notable features in…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Sascha Husa , Yosef Zlochower , Roberto Gomez , Jeffrey Winicour