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We consider the problem of evolving nonlinear initial data in the close limit regime. Metric and curvature perturbations of nonrotating black holes are equivalent to first perturbative order, but Moncrief waveform in the former case and…

General Relativity and Quantum Cosmology · Physics 2009-10-31 C. O. Lousto

Rapidly rotating black hole solutions in theories beyond general relativity play a key role in experimental gravity, as they allow us to compute observables in extreme spacetimes that deviate from the predictions of general relativity. Such…

General Relativity and Quantum Cosmology · Physics 2016-11-29 Robert McNees , Leo C. Stein , Nicolás Yunes

We perform a numerical study of black hole formation from the spherically symmetric collapse of a massless scalar field. The calculations are done in Painlev\'e-Gullstrand (PG) coordinates that extend across apparent horizons and allow the…

General Relativity and Quantum Cosmology · Physics 2009-07-30 J. Ziprick , G. Kunstatter

Massive scalar charges are ubiquitous in extensions to General Relativity and the Standard Model in particle physics. We describe spectral methods which can accurately construct the spacetime of rotating black holes with dimensionless spin…

General Relativity and Quantum Cosmology · Physics 2026-05-28 Adrian Ka-Wai Chung

In the aim of shedding a new light on the classical black hole evaporation conjecture stating that a static brane-localized black hole (BH) larger than the bulk curvature scale does not exist in Randall-Sundrum II (RS-II) model, we…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Norihiro Tanahashi , Takahiro Tanaka

We present a new warped gridding scheme adapted to simulating gas dynamics in binary black hole spacetimes. The grid concentrates grid points in the vicinity of each black hole to resolve the smaller scale structures there, and rarefies…

General Relativity and Quantum Cosmology · Physics 2014-03-03 Miguel Zilhão , Scott C. Noble

While the formalism of isolated horizons is known for some time, only quite recently the near horizon solution of Einstein's equations has been found in the Bondi-like coordinates by Krishnan in 2012. In this framework, the space-time is…

General Relativity and Quantum Cosmology · Physics 2016-11-08 Aleš Flandera

We prove a strong localized gluing result for the general relativistic constraint equations (with or without cosmological constant) in $n\geq 3$ spatial dimensions. We glue an $\epsilon$-rescaling of an asymptotically flat data set…

Analysis of PDEs · Mathematics 2022-10-26 Peter Hintz

We consider the numerical evolution of black hole initial data sets, consisting of single black holes distorted by strong gravitational waves, with a full 3D, nonlinear evolution code. These data sets mimic the late stages of coalescing…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Karen Camarda , Edward Seidel

We study the head-on collision of black holes starting from unsymmetrized, Brill--Lindquist type data for black holes with non-vanishing initial linear momentum. Evolution of the initial data is carried out with the ``close limit…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Reinaldo Gleiser , Oscar Nicasio , Richard Price , Jorge Pullin

To describe a general bound binary black hole system, we need to consider orbital eccentricity and the misalignment of black holes' spin vectors with respect to the orbital angular momentum. While binary black holes produced through many…

High Energy Astrophysical Phenomena · Physics 2025-05-13 Amitesh Singh , Nathan K. Johnson-McDaniel , Anuradha Gupta , Khun Sang Phukon

We construct a sequence of binary black hole puncture data derived under the assumptions (i) that the ADM mass of each puncture as measured in the asymptotically flat space at the puncture stays constant along the sequence, and (ii) that…

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

Given the absence of observations of black hole binaries, it is critical that the full range of accessible parameter space be explored in anticipation of future observation with gravitational wave detectors. To this end, we compile the…

General Relativity and Quantum Cosmology · Physics 2011-07-29 Janna Levin , Sean T. McWilliams , Hugo Contreras

We present a scheme for generating first-order metric perturbation initial data for an arbitrary background and source. We then apply this scheme to derive metric perturbations in order-reduced dynamical Chern-Simons gravity (dCS). In…

General Relativity and Quantum Cosmology · Physics 2019-01-14 Maria Okounkova , Mark A. Scheel , Saul A. Teukolsky

We present an improved version of the approximate scheme for generating inspirals of test-bodies into a Kerr black hole recently developed by Glampedakis, Hughes and Kennefick. Their original "hybrid" scheme was based on combining exact…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Jonathan R Gair , Kostas Glampedakis

We numerically investigate the interior of a four-dimensional, spherically symmetric charged black hole accreting neutral null fluid. Previous study by Marolf and Ori suggested that late infalling observers encounter an effective shock wave…

General Relativity and Quantum Cosmology · Physics 2017-03-02 Ehud Eilon

We construct a black hole initial data for the Einstein equations with prescribed scalar curvature, or more precisely a piece of initial data contained inside the black hole. The constraints translate into a parabolic equation, with radius…

Differential Geometry · Mathematics 2012-07-12 Bernold Fiedler , Juliette Hell , Brian Smith

We generalize Bowen-York black hole initial data to hyperboloidal constant mean curvature slices which extend to future null infinity. We solve this initial value problem numerically for several cases, including unequal mass binary black…

General Relativity and Quantum Cosmology · Physics 2009-11-05 Luisa T. Buchman , Harald P. Pfeiffer , James M. Bardeen

High-accuracy binary black hole simulations are presented for black holes with spins anti-aligned with the orbital angular momentum. The particular case studied represents an equal-mass binary with spins of equal magnitude S/m^2=0.43757 \pm…

General Relativity and Quantum Cosmology · Physics 2010-01-08 Tony Chu , Harald P. Pfeiffer , Mark A. Scheel

A new approach to construct initial data for binary systems with neutron star components is introduced. The approach is a generalization of the puncture initial data method for binary black holes based on Bowen-York solutions to the…

General Relativity and Quantum Cosmology · Physics 2016-09-28 Michael Clark , Pablo Laguna