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  The existence and stability of marginally trapped surfaces

Pook-Kolb, D., Birnholtz, O., Krishnan, B., & Schnetter, E. (2019). The existence and stability of marginally trapped surfaces. Physical Review D, 99(6): 064005. doi:10.1103/PhysRevD.99.064005.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0002-F949-4 Version Permalink: http://hdl.handle.net/21.11116/0000-0003-3A55-D
Genre: Journal Article

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 Creators:
Pook-Kolb, Daniel1, Author              
Birnholtz, Ofek1, Author              
Krishnan, Badri2, Author              
Schnetter, Erik3, Author              
Affiliations:
1Observational Relativity and Cosmology, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society, ou_24011              
2Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              
3Stellar Astrophysics, MPI for Astrophysics, Max Planck Society, ou_159882              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: Marginally outer trapped surfaces (MOTSs, or marginal surfaces in short) are routinely used in numerical simulations of black hole spacetimes. They are an invaluable tool for locating and characterizing black holes quasi-locally in real time while the simulation is ongoing. It is often believed that a MOTS can behave unpredictably under time evolution; an existing MOTS can disappear, and a new one can appear without any apparent reason. In this paper we show that in fact the behavior of a MOTS is perfectly predictable and its behavior is dictated by a single real parameter, the \emph{stability parameter}, which can be monitored during the course of a numerical simulation. We demonstrate the utility of the stability parameter to fully understand the variety of marginal surfaces that can be present in binary black hole initial data. We also develop a new horizon finder capable of locating very highly distorted marginal surfaces and we show that even in these cases, the stability parameter perfectly predicts the existence and stability of marginal surfaces.

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 Dates: 2018-11-262019
 Publication Status: Published in print
 Pages: 21 pages, 18 figures
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 Identifiers: arXiv: 1811.10405
URI: http://arxiv.org/abs/1811.10405
DOI: 10.1103/PhysRevD.99.064005
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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 99 (6) Sequence Number: 064005 Start / End Page: - Identifier: -