Horizons in a binary black hole merger I: Geometry and area increase

Pook-Kolb, Daniel; Birnholtz, O.; Jaramillo, José Luis; Krishnan, B.; Schnetter, Erik

doi:10.48550/arxiv.2006.03939

Cited by 12 publications

(30 citation statements)

References 91 publications

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“…By removing this limitation, it was shown recently that the individual apparent horizons connect indirectly to the outer common horizon by merging (non-smoothly) with the world tube of its inner branch at the time when the individual apparent horizons touch [26][27][28][29]. However, they continue to exist afterwards and their later fate was not fully resolved in these studies.…”

Section: Introductionmentioning

confidence: 94%

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Ultimate fate of apparent horizons during a binary black hole merger II: Horizons weaving back and forth in time

Pook-Kolb,

Booth,

Hennigar

2021

Preprint

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In this second part of a two-part paper, we discuss numerical simulations of a head-on merger of two non-spinning 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 [1] 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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Section: Introductionmentioning

confidence: 94%

“…The above objects are closely related to various terms involving the word "horizon". For instance, a spacelike future MOTT is defined as a dynamical horizon in [17,33] while in [28,29], the definition of a dynamical horizon has been generalized to refer to any MOTT. Additional qualifiers (e.g.…”

Section: A Marginal Surfaces and Their World Tubesmentioning

confidence: 99%

Ultimate fate of apparent horizons during a binary black hole merger II: Horizons weaving back and forth in time

Pook-Kolb,

Booth,

Hennigar

2021

Preprint

Self Cite

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“…If we expand in the Fourier series χ(v) = k χ k (ṽ)e −iϕ k and S(v) = k S k (ṽ)e −iϕ k , then at leading order Eq. (35) becomes…”

Section: Two-timescale Expansionmentioning

confidence: 99%

Deformed Schwarzschild horizons in second-order perturbation theory: mass, geometry, and teleology

Bonetto,

Pound,

Sam

2021

Preprint

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“…This led to questions about whether or not MOTSs are well-behaved in these circumstances, and whether they provide a physically reasonable description of the underlying physics. The culmination of this effort has been a detailed understanding of the analog of the "pair of pants" diagram for the apparent horizon [16][17][18][19][20][21][22][23]. This is considerably more complicated than the case of the event horizon.…”

Section: Introductionmentioning

confidence: 99%

“…This feature suggests an organizing principle by which the behaviour of unstable MOTSs may be understood analytically. It was shown in [19] that inclusion of the world-tube traced out by the unstable inner common MOTS allows for a connected (albeit nonsmooth) sequence of MOTSs between the initial and final states of the merger, thereby allowing physical quantities associated to the black holes to be tracked from the initial to final states of the merger [21,22]. In [17,23], it was shown that the unstable MOTSs present in the interior of a merger are essential to understanding the final fate of the initial two black holes.…”

Section: Introductionmentioning

confidence: 99%

The Interior MOTSs of Spherically Symmetric Black Holes

Hennigar¹,

Billy²,

Liam³

et al. 2021

Preprint

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There are notable similarities between the marginally outer trapped surfaces (MOTSs) present in the interior of a binary black hole merger and those present in the interior of the Schwarzschild black hole. Here we study the existence and properties of MOTSs with self-intersections in the interior of more general static and spherically symmetric black holes and coordinate systems. Our analysis is carried out in a parametrized family of Painlevé-Gullstrand-like coordinates that we introduce. First, for the Schwarzschild spacetime, we study the existence of these surfaces for various slicings of the spacetime finding them to be generic within the family of coordinate systems we investigate. Then, we study how an inner horizon affects the existence and properties of these surfaces by exploring examples: the Reissner-Nordström black hole and the four-dimensional Gauss-Bonnet black hole. We find that an inner horizon results in a finite number of self-intersecting MOTSs, but their properties depend sensitively on the interior structure of the black hole. By analyzing the spectrum of the stability operator, we show that our results for two-horizon black holes provide exact-solution examples of recently observed properties of unstable MOTSs present in the interior of a binary black hole merger, such as the sequence of bifurcations/annihilations that lead to the disappearance of apparent horizons.

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Horizons in a binary black hole merger I: Geometry and area increase

Cited by 12 publications

References 91 publications

Ultimate fate of apparent horizons during a binary black hole merger II: Horizons weaving back and forth in time

Ultimate fate of apparent horizons during a binary black hole merger II: Horizons weaving back and forth in time

Deformed Schwarzschild horizons in second-order perturbation theory: mass, geometry, and teleology

The Interior MOTSs of Spherically Symmetric Black Holes

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