Horizon dynamics of distorted rotating black holes

Abstract

We present numerical simulations of a Kerr black hole perturbed by a pulse of ingoing gravitational radiation. For strong perturbations we find up to five concentric marginally outer trapped surfaces. These trapped surfaces appear and disappear in pairs, so that the total number of such surfaces at any given time is odd. The world tubes traced out by the marginally outer trapped surfaces are found to be spacelike during the highly dynamical regime, approaching a null hypersurface at early and late times. We analyze the structure of these marginally trapped tubes in the context of the dynamical horizon formalism, computing the expansion of outgoing and incoming null geodesics, as well as evaluating the dynamical horizon flux law and the angular momentum flux law. Finally, we compute the event horizon. The event horizon is well-behaved and approaches the apparent horizon before and after the highly dynamical regime. No new generators enter the event horizon during the simulation.

17 pages, 17 figures, accepted for publication in Phys. Rev. D

References in corpus (13)

• Solving Einstein's Equations With Dual Coordinate Frames
• Binary-black-hole initial data with nearly-extremal spins
• Introduction to dynamical horizons in numerical relativity
• Stable radiation-controlling boundary conditions for the generalized harmonic Einstein equations
• Testing outer boundary treatments for the Einstein equations
• Isolated, slowly evolving, and dynamical trapping horizons: geometry and mechanics from surface deformations
• Approximate Killing Vectors on S^2
• Extremality conditions for isolated and dynamical horizons
• A generalized Damour-Navier-Stokes equation applied to trapping horizons
• Improved outer boundary conditions for Einstein's field equations
• Towards absorbing outer boundaries in General Relativity
• Revisiting Event Horizon Finders
• Explicit solution of the linearized Einstein equations in TT gauge for all multipoles