Existence and stability of marginally trapped surfaces in black-hole spacetimes

Daniel Pook-Kolb, Ofek Birnholtz, Badri Krishnan, Erik Schnetter

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

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 quasilocally 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 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.

Original languageEnglish
Article number064005
JournalPhysical Review D
Volume99
Issue number6
DOIs
StatePublished - 15 Mar 2019
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2019 American Physical Society.

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