Ultimate fate of apparent horizons during a binary black hole merger. II. The vanishing of apparent horizons

Daniel Pook-Kolb, Ivan Booth, and Robie A. Hennigar
Phys. Rev. D 104, 084084 – Published 25 October 2021

Abstract

In this second part of a two-part paper, we discuss numerical simulations of a head-on merger of two nonspinning black holes. We resolve the fate of the original two apparent horizons by showing that after intersecting, their world tubes “turn around” and continue backwards in time. Using the method presented in the first paper [Phys. Rev. D 084083 (2021)] to locate these surfaces, we resolve several such world tubes evolving and connecting through various bifurcations and annihilations. This also draws a consistent picture of the full merger in terms of apparent horizons, or more generally, marginally outer trapped surfaces (MOTSs). The MOTS stability operator provides a natural mechanism to identify MOTSs which should be thought of as black hole boundaries. These are the two initial ones and the final remnant. All other MOTSs lie in the interior and are neither stable nor inner trapped.

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  • Received 30 May 2021
  • Accepted 8 September 2021

DOI:https://doi.org/10.1103/PhysRevD.104.084084

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Daniel Pook-Kolb1,2, Ivan Booth3, and Robie A. Hennigar3,4,5

  • 1Max-Planck-Institut für Gravitationsphysik (Albert Einstein Institute), Callinstraße 38, 30167 Hannover, Germany
  • 2Leibniz Universität Hannover, 30167 Hannover, Germany
  • 3Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, Newfoundland and Labrador, A1C 5S7, Canada
  • 4Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
  • 5Department of Physics and Computer Science, Wilfrid Laurier University, Waterloo, Ontario, Canada N2L 3C5

See Also

What Happens to Apparent Horizons in a Binary Black Hole Merger?

Daniel Pook-Kolb, Robie A. Hennigar, and Ivan Booth
Phys. Rev. Lett. 127, 181101 (2021)

Ultimate fate of apparent horizons during a binary black hole merger. I. Locating and understanding axisymmetric marginally outer trapped surfaces

Ivan Booth, Robie A. Hennigar, and Daniel Pook-Kolb
Phys. Rev. D 104, 084083 (2021)

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Vol. 104, Iss. 8 — 15 October 2021

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