Self-intersecting marginally outer trapped surfaces

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

doi:10.1103/physrevd.100.084044

Cited by 33 publications

(78 citation statements)

References 79 publications

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“…Methodology.-Our main technical tool is a new method (and software) for locating MOTSs numerically which is capable of finding even very highly distorted MOTSs [38][39][40]. This is a modification of the commonly used algorithm known as AHFinderDirect [44].…”

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Interior of a Binary Black Hole Merger

et al. 2019

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We find strong numerical evidence for a new phenomenon in a binary black hole spacetime, namely the merger of marginally outer trapped surfaces (MOTSs). By simulating the head-on collision of two nonspinning unequal mass black holes, we observe that the MOTS associated with the final black hole merges with the two initially disjoint surfaces corresponding to the two initial black holes. This yields a connected sequence of MOTSs interpolating between the initial and final state all the way through the non-linear binary black hole merger process. In addition, we show the existence of a MOTS with self-intersections formed immediately after the merger. This scenario now allows us to track physical quantities (such as mass, angular momentum, higher multipoles, and fluxes) across the merger, which can be potentially compared with the gravitational wave signal in the wave-zone, and with observations by gravitational wave detectors. This also suggests a possibility of proving the Penrose inequality mathematically for generic astrophysical binary back hole configurations.

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“…Additional resolutions were used to verify convergence. All parameter files are available in the repository [40].…”

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Interior of a Binary Black Hole Merger

et al. 2019

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“…We highlight some known features of a binary black hole merger, as described in [48,49,27]. This also serves to set up our notation.…”

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confidence: 99%

“…This also serves to set up our notation. In [48,49], it was found that there is a connected sequence of MOTSs, which interpolate between the initial and final states of the merger (two separate BHs to one BH, respectively) [48,49]. The dynamics are as follows: Initially, there are two BHs with disjoint MOTS (which are AHs at this point [27]), S 1 , and S 2 , one around each BH.…”

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confidence: 99%

“…DHs are also useful, as they could contribute to our understanding of BH formation [8,9,10,13]. In addition, MOTSs turn out to be well-behaved numerically, and also can be used to trace physical quantities of a BH as they evolve over time and through a BBH merger [52,26,29,48,49]. One possible disadvantage of AHs is that the definition of AHs as the "outermost MOTS" is only useful in practice when a foliation is given [7].…”

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Curvature Invariants and the Geometric Horizon Conjecture in a Binary Black Hole Merger

Peters¹,

Coley²,

Schnetter³

2021

Preprint

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We study curvature invariants in a binary black hole merger. It has been conjectured that one could define a quasi-local and foliation independent black hole horizon by finding the level-0 set of a suitable curvature invariant of the Riemann tensor. The conjecture is the geometric horizon conjecture and the associated horizon is the geometric horizon. We study this conjecture by tracing the level-0 set of the complex scalar polynomial invariant, D, through a quasi-circular binary black hole merger. We approximate these level-0 sets of D with level-ε sets of |D| for small ε. We locate the local minima of |D| and find that the positions of these local minima correspond closely to the level-ε sets of |D| and we also compare with the level-0 sets of Re(D). The analysis provides evidence that the level-ε sets track a unique geometric horizon. By studying the behaviour of the zero sets of Re(D) and Im(D) and also by studying the MOTSs and apparent horizons of the initial black holes, we observe that the level-ε set that best approximates the geometric horizon is given by ε = 10 −3 .

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Evidence for violations of Weak Cosmic Censorship in black hole collisions in higher dimensions

Andrade

Figueras

Sperhake

2022

J. High Energ. Phys.

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We study collisions of boosted rotating black holes in D = 6 and 7 spacetime dimensions with a non-zero impact parameter. We find that there exists an open set of initial conditions such that the intermediate state of the collision is a black hole with a dumbbell-like horizon which is unstable to a local Gregory-Laflamme-type instability. We are able to provide convincing numerical evidence that the evolution of such an instability leads to a pinch off of the horizon in finite asymptotic time thus forming a naked singularity, as in similar unstable black holes. Since the black holes in the initial state are stable, this is the first genuinely generic evidence for the violation of the Weak Cosmic Censorship Conjecture in higher dimensional asymptotically flat spacetimes.

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Self-intersecting marginally outer trapped surfaces

Cited by 33 publications

References 79 publications

Interior of a Binary Black Hole Merger

Interior of a Binary Black Hole Merger

Curvature Invariants and the Geometric Horizon Conjecture in a Binary Black Hole Merger

Evidence for violations of Weak Cosmic Censorship in black hole collisions in higher dimensions

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