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Main Authors: Sievers, Kam To Billy, Newhook, Liam, Muth, Sarah, Booth, Ivan, Hennigar, Robie A., Kunduri, Hari K.
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2312.00769
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_version_ 1866929383898349568
author Sievers, Kam To Billy
Newhook, Liam
Muth, Sarah
Booth, Ivan
Hennigar, Robie A.
Kunduri, Hari K.
author_facet Sievers, Kam To Billy
Newhook, Liam
Muth, Sarah
Booth, Ivan
Hennigar, Robie A.
Kunduri, Hari K.
contents 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 tubes can have complicated geometries as well as non-spherical topologies. In particular, toroidal MOTSs form inside both of the original black holes during the early stages of a head-on merger that starts from time-symmetric initial data [1]. We show that toroidal MOTSs also form in the maximal analytic extension of the Schwarzschild spacetime as Kruskal time advances from the $T=0$ moment of time symmetry. As for the merger simulations, they cross the Einstein-Rosen bridge and are tightly sandwiched between the apparent horizons in the two asymptotic regions at early times. This strongly suggests that their formation is a consequence of the initial conditions rather than merger physics. Finally, we consider MOTSs of spherical topology in the Kruskal-Szekeres slicing and study their properties. All of these are contained within the apparent horizon but some do not enclose the wormhole.
format Preprint
id arxiv_https___arxiv_org_abs_2312_00769
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Marginally Outer Trapped Tori in Black Hole Spacetimes
Sievers, Kam To Billy
Newhook, Liam
Muth, Sarah
Booth, Ivan
Hennigar, Robie A.
Kunduri, Hari K.
General Relativity and Quantum Cosmology
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 tubes can have complicated geometries as well as non-spherical topologies. In particular, toroidal MOTSs form inside both of the original black holes during the early stages of a head-on merger that starts from time-symmetric initial data [1]. We show that toroidal MOTSs also form in the maximal analytic extension of the Schwarzschild spacetime as Kruskal time advances from the $T=0$ moment of time symmetry. As for the merger simulations, they cross the Einstein-Rosen bridge and are tightly sandwiched between the apparent horizons in the two asymptotic regions at early times. This strongly suggests that their formation is a consequence of the initial conditions rather than merger physics. Finally, we consider MOTSs of spherical topology in the Kruskal-Szekeres slicing and study their properties. All of these are contained within the apparent horizon but some do not enclose the wormhole.
title Marginally Outer Trapped Tori in Black Hole Spacetimes
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2312.00769