Application of initial data sequences to the study of Black Hole dynamical trapping horizons

Abstract

Non-continuous "jumps" of Apparent Horizons occur generically in 3+1 (binary) black hole evolutions. The dynamical trapping horizon framework suggests a spacetime picture in which these "Apparent Horizon jumps" are understood as spatial cuts of a single spacetime hypersurface foliated by (compact) marginally outer trapped surfaces. We present here some work in progress which makes use of uni-parametric sequences of (axisymmetric) binary black hole initial data for exploring the plausibility of this spacetime picture. The modelling of Einstein evolutions by sequences of initial data has proved to be a successful methodological tool in other settings for the understanding of certain qualitative features of evolutions in restricted physical regimes.

Contribution to the proceedings volume of the Spanish Relativity Meeting 2008: Physics and Mathematics of Gravitation, Salamanca, Spain, 15-19 Sep 2008

Cited by in corpus (10)

• Black-hole horizons as probes of black-hole dynamics II: geometrical insights
• The existence and stability of marginally trapped surfaces
• Causal Nature and Dynamics of Trapping Horizons in Black Hole Collapse
• Self-intersecting marginally outer trapped surfaces
• MOTS in Schwarzschild: multiple self-intersections and extreme mass ratio mergers
• On the proximity of black hole horizons: lessons from Vaidya
• Quasi-Local Black Hole Horizons: Recent Advances
• Inside the Final Black Hole: Puncture and Trapped Surface Dynamics
• Geometric horizons in binary black hole mergers
• How trapped surfaces jump in 2+1 dimensions