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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 non-spinning unequal mass black holes, we…

General Relativity and Quantum Cosmology · Physics 2019-10-23 Daniel Pook-Kolb , Ofek Birnholtz , Badri Krishnan , Erik Schnetter

We present simulations of binary black holes mergers in which, after the common outer horizon has formed, the marginally outer trapped surfaces (MOTSs) corresponding to the individual black holes continue to approach and eventually…

General Relativity and Quantum Cosmology · Physics 2015-11-18 P. Mösta , L. Andersson , J. Metzger , B. Szilágyi , J. Winicour

During a binary black hole merger, multiple intermediary marginally outer trapped tubes connect the initial pair of apparent horizons with the final (single) apparent horizon. The marginally outer trapped surfaces (MOTSs) that foliate these…

General Relativity and Quantum Cosmology · Physics 2024-06-14 Kam To Billy Sievers , Liam Newhook , Sarah Muth , Ivan Booth , Robie A. Hennigar , Hari K. Kunduri

In classical numerical relativity, marginally outer trapped surfaces (MOTSs) are the main tool to locate and characterize black holes. For five decades it has been known that during a binary merger, a new outer horizon forms around the…

General Relativity and Quantum Cosmology · Physics 2021-11-03 Ivan Booth , Robie A. Hennigar , Daniel Pook-Kolb

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…

General Relativity and Quantum Cosmology · Physics 2021-11-03 Daniel Pook-Kolb , Ivan Booth , Robie A. Hennigar

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…

General Relativity and Quantum Cosmology · Physics 2021-11-19 Robie A. Hennigar , Kam To Billy Chan , Liam Newhook , Ivan Booth

A popular approach in numerical simulations of black hole binaries is to model black holes as punctures in the fabric of spacetime. The location and the properties of the black hole punctures are tracked with apparent horizons, namely…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Christopher Evans , Deborah Ferguson , Bhavesh Khamesra , Pablo Laguna , Deirdre Shoemaker

We study the open and closed axisymmetric marginally outer trapped surfaces contained in leaves of constant Painlev\'e-Gullstrand time for Schwarzschild spacetimes. We identify a family of closed MOTS in the black hole interior…

General Relativity and Quantum Cosmology · Physics 2020-09-11 Ivan Booth , Robie Hennigar , Saikat Mondal

We resolve the fate of the two original apparent horizons during the head-on merger of two non-spinning black holes. We show that following the appearance of the outer common horizon and subsequent inter-penetration of the original…

General Relativity and Quantum Cosmology · Physics 2021-11-17 Daniel Pook-Kolb , Robie A. Hennigar , Ivan Booth

The recently developed MOTSodesic method for locating marginally outer trapped surfaces was effectively restricted to non-rotating spacetimes. In this paper we extend the method to (multi-)axisymmetric time slices of (multi-)axisymmetric…

General Relativity and Quantum Cosmology · Physics 2023-04-26 Ivan Booth , Kam To Billy Chan , Robie A. Hennigar , Hari Kunduri , Sarah Muth

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…

General Relativity and Quantum Cosmology · Physics 2019-03-13 Daniel Pook-Kolb , Ofek Birnholtz , Badri Krishnan , Erik Schnetter

Recent advances in numerical relativity have revealed how marginally trapped surfaces behave when black holes merge. It is now known that interesting topological features emerge during the merger, and marginally trapped surfaces can have…

General Relativity and Quantum Cosmology · Physics 2020-06-09 Daniel Pook-Kolb , Ofek Birnholtz , Jose Luis Jaramillo , Badri Krishnan , Erik Schnetter

We consider an initial data set having a continuous symmetry and a marginally outer trapped surface (MOTS) that is not preserved by this symmetry. We show that such a MOTS is unstable except in an exceptional case. In non-rotating cases we…

General Relativity and Quantum Cosmology · Physics 2024-05-03 Ivan Booth , Graham Cox , Juan Margalef-Bentabol

In this note, we consider some initial data rigidity results concerning marginally outer trapped surfaces (MOTS). As is well known, MOTS play an important role in the theory of black holes and, at the same time, are interesting spacetime…

Differential Geometry · Mathematics 2024-07-24 Gregory J. Galloway , Abraão Mendes

We prove that a marginally outer trapped surface (MOTS) can form as a result of Einsteinian evolution in pure vacuum spacetime starting from regular initial data free of MOTSs due to pure boundary effects. We adapt a Cauchy-double-null…

General Relativity and Quantum Cosmology · Physics 2026-02-19 Puskar Mondal , Shing-Tung Yau

In [5], a rigidity result was obtained for outermost marginally outer trapped surfaces (MOTSs) that do not admit metrics of positive scalar curvature. This allowed one to treat the "borderline case" in the author's work with R. Schoen…

General Relativity and Quantum Cosmology · Physics 2018-03-14 Gregory J. Galloway

Coalescing massive black hole binaries are produced by the mergers of galaxies. The final stages of the black hole coalescence produce strong gravitational radiation that can be detected by the space-borne LISA. In cases where the black…

The behavior of quasi-local black hole horizons in a binary black hole merger is studied numerically. We compute the horizon multipole moments, fluxes and other quantities on black hole horizons throughout the merger. These lead to a better…

General Relativity and Quantum Cosmology · Physics 2018-04-25 Anshu Gupta , Badri Krishnan , Alex B. Nielsen , Erik Schnetter

Because they are likely to accrete substantial amounts of interstellar gas, merging supermassive binary black holes are expected to be strong multimessenger sources, radiating gravitational waves, photons from thermal gas, and photons from…

High Energy Astrophysical Phenomena · Physics 2025-12-04 Lorenzo Ennoggi , Manuela Campanelli , Julian Krolik , Scott C. Noble , Yosef Zlochower , Maria Chiara de Simone

An important question in binary black hole mergers is to connect properties of the remnant black hole to those of the two initial black holes. These properties include not only the final mass and spin of the remnant, but also higher…

General Relativity and Quantum Cosmology · Physics 2026-05-20 Shilpa Kastha , Stamatis Vretinaris , Daniel Pook-Kolb , Badri Krishnan
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