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 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.

arXiv comment20 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 (24)

• Isolated and dynamical horizons and their applications
• Local existence of dynamical and trapping horizons
• Regular coordinate systems for Schwarzschild and other spherical spacetimes
• Holographic entanglement plateaux
• Marginally trapped tubes and dynamical horizons
• Proof of a New Area Law in General Relativity
• The time evolution of marginally trapped surfaces
• The Penrose inequality and apparent horizons
• Dynamics of marginally trapped surfaces in a binary black hole merger: Growth and approach to equilibrium
• The interior of a binary black hole merger
• An introduction to local Black Hole horizons in the 3+1 approach to General Relativity
• The existence and stability of marginally trapped surfaces
• Self-intersecting marginally outer trapped surfaces
• Horizon dynamics of distorted rotating black holes
• Spherically Symmetric Black Hole Formation in Painlevé-Gullstrand Coordinates
• Exact Event Horizon of a Black Hole Merger
• Black hole fusion in the extreme mass ratio limit
• On marginally outer trapped surfaces in stationary and static spacetimes
• The Merger of Small and Large Black Holes
• Unstable marginally outer trapped surfaces in static spherically symmetric spacetimes
• Application of initial data sequences to the study of Black Hole dynamical trapping horizons
• Deformation of horizons during a merger
• Precursory collapse in Neutron Star-Black Hole mergers
• Inside the Final Black Hole: Puncture and Trapped Surface Dynamics

Cited by in corpus (12)

• What Happens to Apparent Horizons in a Binary Black Hole Merger?
• Ultimate fate of apparent horizons during a binary black hole merger II: Horizons weaving back and forth in time
• Quasi-Local Black Hole Horizons: Recent Advances
• Symmetry and instability of marginally outer trapped surfaces
• Horizon area bound and MOTS stability in locally rotationally symmetric solutions
• Black hole-wormhole collisions and the emergence of islands
• Exotic marginally outer trapped surfaces in rotating spacetimes of any dimension
• Marginally Outer Trapped Tori in Black Hole Spacetimes
• Ultimate fate of apparent horizons during a binary black hole merger I: Locating and understanding axisymmetric marginally outer trapped surfaces
• Dynamical Horizon Segments and Spacetime Isometries
• Gradient conformal stationarity and the CMC condition in LRS spacetimes
• The Interior MOTSs of Spherically Symmetric Black Holes