MOTS in Schwarzschild: multiple self-intersections and extreme mass ratio mergers
arXiv:2005.05350 · doi:10.1103/PhysRevD.102.044031
Abstract
We study the open and closed axisymmetric marginally outer trapped surfaces contained in leaves of constant Painlevé-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.
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
References in corpus (5)
- The time evolution of marginally trapped surfaces
- Horizon dynamics of distorted rotating black holes
- Spherically Symmetric Black Hole Formation in Painlevé-Gullstrand Coordinates
- Application of initial data sequences to the study of Black Hole dynamical trapping horizons
- Inside the Final Black Hole: Puncture and Trapped Surface Dynamics