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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

An important question in binary black hole mergers is to connect properties of the remnant black hole to those of the two initial black holes. These properties include not only the final mass and spin of the remnant, but also higher…

General Relativity and Quantum Cosmology · Physics 2026-05-20 Shilpa Kastha , Stamatis Vretinaris , Daniel Pook-Kolb , Badri Krishnan

We present numerical simulations of a Kerr black hole perturbed by a pulse of ingoing gravitational radiation. For strong perturbations we find up to five concentric marginally outer trapped surfaces. These trapped surfaces appear and…

General Relativity and Quantum Cosmology · Physics 2011-05-13 Tony Chu , Harald P. Pfeiffer , Michael I. Cohen

We examine the causal and geometric horizons of dynamical black holes in Lemaitre-Tolman-Bondi collapsing dust spacetimes. Marginally trapped tubes in these spacetimes may be spacelike, timelike or null and may also be sourced from or…

General Relativity and Quantum Cosmology · Physics 2014-10-22 Benjamin K. Tippett , Ivan Booth

Since black holes can be formed through widely varying processes, the horizon structure is highly complicated in the dynamical phase. Nonetheless, as numerical simulations show, the final state appears to be universal, well described by the…

General Relativity and Quantum Cosmology · Physics 2013-09-30 Abhay Ashtekar , Miguel Campiglia , Samir Shah

Black holes in general relativity are characterized by their trapping horizon, a one-way membrane that can be crossed only inwards. The existence of trapping horizons in astrophysical black holes can be tested observationally using a…

General Relativity and Quantum Cosmology · Physics 2018-06-27 Raúl Carballo-Rubio , Pawan Kumar , Wenbin Lu

In gravitational collapse leading to black hole formation, trapping horizons typically develop inside the contracting matter. Classically, an ingoing trapping horizon moves towards the centre where it reaches a curvature singularity, while…

General Relativity and Quantum Cosmology · Physics 2018-10-03 Pierre Binétruy , Alexis Helou , Frédéric Lamy

Nonlinear dynamics in cosmological backgrounds has the potential to teach us immensely about our universe, and also to serve as prototype for nonlinear processes in generic curved spacetimes. Here we report on dynamical evolutions of black…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Miguel Zilhao , Vitor Cardoso , Leonardo Gualtieri , Carlos Herdeiro , Ulrich Sperhake , Helvi Witek

The moving puncture method is analyzed for a single, non-spinning black hole. It is shown that the puncture region is not resolved by current numerical codes. As a result, the geometry near the puncture appears to evolve to an infinitely…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. David Brown

We define entropic marginally outer trapped surfaces (E-MOTSs) as a generalization of apparent horizons. We then show that, under first-order perturbations around a stationary black hole, the dynamical black hole entropy proposed by…

General Relativity and Quantum Cosmology · Physics 2026-02-03 Hideo Furugori , Kanji Nishii , Daisuke Yoshida , Kaho Yoshimura

We investigate the generic behaviour of marginally trapped tubes (roughly time-evolved apparent horizons) using simple, spherically symmetric examples of dust and scalar field collapse/accretion onto pre-existing black holes. We find that…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Ivan Booth , Lionel Brits , Jose A. Gonzalez , Chris Van Den Broeck

The behavior of quasi-local black hole horizons in a binary black hole merger is studied numerically. We compute the horizon multipole moments, fluxes and other quantities on black hole horizons throughout the merger. These lead to a better…

General Relativity and Quantum Cosmology · Physics 2018-04-25 Anshu Gupta , Badri Krishnan , Alex B. Nielsen , Erik Schnetter

With the puncture method for black hole simulations, the second infinity of a wormhole geometry is compactified to a single "puncture point" on the computational grid. The region surrounding the puncture quickly evolves to a trumpet…

General Relativity and Quantum Cosmology · Physics 2009-11-05 J. David Brown

For the study of $3+1$ dimensional Einstein vacuum equations (EVEs), substantial progress has been made recently on the problem of trapped surface formation. However, very limited knowledge of existence and associated properties is acquired…

General Relativity and Quantum Cosmology · Physics 2021-05-06 Xinliang An , Qing Han

A generic black hole merger occurs through a restructuring of creases (sharp edges) on the event horizon. This process is studied for a black hole merger in the limit of infinite mass ratio, for which constructing the event horizon reduces…

General Relativity and Quantum Cosmology · Physics 2024-07-12 Maxime Gadioux , Robie A. Hennigar , Harvey S. Reall

This paper presents a quasi-local method of studying the physics of dynamical black holes in numerical simulations. This is done within the dynamical horizon framework, which extends the earlier work on isolated horizons to time-dependent…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Erik Schnetter , Badri Krishnan , Florian Beyer

When simulating the inspiral and coalescence of a binary black-hole system, special care needs to be taken in handling the singularities. Two main techniques are used in numerical-relativity simulations: A first and more traditional one…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jonathan Thornburg , Peter Diener , Denis Pollney , Luciano Rezzolla , Erik Schnetter , Ed Seidel , Ryoji Takahashi

We study the evolution of horizons of black holes in the $1+1+2$ covariant setting and investigate various properties intrinsic to the geometry of the foliation surfaces of these horizons. This is done by interpreting formulations of…

General Relativity and Quantum Cosmology · Physics 2019-10-16 Abbas Sherif , Rituparno Goswami , Sunil Maharaj

A detailed description of how black holes grow in full, non-linear general relativity is presented. The starting point is the notion of dynamical horizons. Expressions of fluxes of energy and angular momentum carried by gravitational waves…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Abhay Ashtekar , Badri Krishnan

We study event horizons of non-axisymmetric black holes and show how features found in axisymmetric studies of colliding black holes and of toroidal black holes are non-generic and how new features emerge. Most of the details of black hole…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Sascha Husa , Jeffrey Winicour