Event Horizons in Numerical Relativity II: Analyzing the Horizon

Abstract

We present techniques and methods for analyzing the dynamics of event horizons in numerically constructed spacetimes. There are three classes of analytical tools we have investigated. The first class consists of proper geometrical measures of the horizon which allow us comparison with perturbation theory and powerful global theorems. The second class involves the location and study of horizon generators. The third class includes the induced horizon 2-metric in the generator comoving coordinates and a set of membrane-paradigm like quantities. Applications to several distorted, rotating, and colliding black hole spacetimes are provided as examples of these techniques.

23 double column pages including 28 figures. Higher quality figures (big size!) available upon request (jmasso OR [email protected])

References in corpus (4)

• Boosted three-dimensional black-hole evolutions with singularity excision
• First order hyperbolic formalism for Numerical Relativity
• Numerical Evolution of Black Holes with a Hyperbolic Formulation of General Relativity
• New Coordinate Systems for Axisymmetric Black Hole Collisions

Cited by in corpus (22)

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• Numerical Approaches to Spacetime Singularities
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• Towards the Final Fate of an Unstable Black String
• Dynamical evolution of quasi-circular binary black hole data
• Test-beds and applications for apparent horizon finders in numerical relativity
• A new general purpose event horizon finder for 3D numerical spacetimes
• The Asymmetric Merger of Black Holes
• Evolving Einstein's Field Equations with Matter: The ``Hydro without Hydro'' Test
• Exact Solutions for the Intrinsic Geometry of Black Hole Coalescence
• Finding apparent horizons and other two-surfaces of constant expansion
• Revisiting Event Horizon Finders
• Membrane Paradigm and Holographic DC Conductivity for Nonlinear Electrodynamics
• Event Horizon Deformations in Extreme Mass-Ratio Black Hole Mergers
• Toroidal Horizons in Binary Black Hole Mergers
• Tracking Black Holes in Numerical Relativity
• Isometric embeddings of black hole horizons in three-dimensional flat space
• Falloff of the Weyl scalars in binary black hole spacetimes
• Holographic DC Conductivity for a Power-law Maxwell Field
• Adaptive Event Horizon Tracking and Critical Phenomena in Binary Black Hole Coalescence
• Orbifolds in Numerical Relativity