MOTS in Schwarzschild: multiple self-intersections and extreme mass ratio mergers
Abstract
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 characterized by an arbitrary number of self-intersections. This suggests that the self-intersecting behaviour reported in [Phys.Rev.D 100, 084044 (2019)] may be a far more generic phenomenon than expected. We also consider open surfaces, finding that their behaviour is highly constrained but includes surfaces with multiple self-intersections inside the horizon. We argue that the behaviour of open MOTS identifies and constrains the possible local behaviour of MOTS during extreme mass ratio mergers.
Keywords
Cite
@article{arxiv.2005.05350,
title = {MOTS in Schwarzschild: multiple self-intersections and extreme mass ratio mergers},
author = {Ivan Booth and Robie Hennigar and Saikat Mondal},
journal= {arXiv preprint arXiv:2005.05350},
year = {2020}
}
Comments
20 pages, 20 figures. V2: Two paragraphs added to emphasize that results for PG slicings are expected to be more generic than those for a static slicing. Otherwise small changes in wording. Version submitted to journal, V3: Title and abstract changed to emphasize main results. Typos corrected in text. Published version