Numerical study of cusp formation on horizons in head-on non-spinning black hole mergers, with analysis of mass and multipole behavior at the cusp and a proposed phenomenological model.
The time evolution of marginally trapped surfaces
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
In previous work we have shown the existence of a dynamical horizon or marginally trapped tube (MOTT) containing a given strictly stable marginally outer trapped surface (MOTS). In this paper we show some results on the global behavior of MOTTs assuming the null energy condition. In particular we show that MOTSs persist in the sense that every Cauchy surface in the future of a given Cauchy surface containing a MOTS also must contain a MOTS. We describe a situation where the evolving outermost MOTS must jump during the coalescence of two seperate MOTSs. We furthermore characterize the behavior of MOTSs in the case that the principal eigenvalue vanishes under a genericity assumption. This leads to a regularity result for the tube of outermost MOTSs under the genericity assumption. This tube is then smooth up to finitely many jump times. Finally we discuss the relation of MOTSs to singularities of a space-time.
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gr-qc 2years
2026 2verdicts
UNVERDICTED 2roles
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Tests in symmetrically collapsing spacetimes and the full sub-extreme Kerr-Newman family support the conjecture that compact trapped submanifolds of codimension >1 stay inside black holes and do not reach the domain of outer communications.
citing papers explorer
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Cusp Formation in Merging Black Hole Horizons
Numerical study of cusp formation on horizons in head-on non-spinning black hole mergers, with analysis of mass and multipole behavior at the cusp and a proposed phenomenological model.
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Convex foliations and trapped submanifolds
Tests in symmetrically collapsing spacetimes and the full sub-extreme Kerr-Newman family support the conjecture that compact trapped submanifolds of codimension >1 stay inside black holes and do not reach the domain of outer communications.