Event Horizons in Numerical Relativity II: Analyzing the Horizon

Details Event Horizons in Numerical Relativity II: Analyzing the Horizon Event Horizons in Numerical Relativity II: Analyzing the Horizon

1998-04-23

arxiv.org/abs/gr-qc/9804059v1

Phys.Rev. D59 (1999) 064015

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 double column pages including 28 figures. Higher quality figures (big size!) available upon request (jmasso OR pwalker@aei-

Scientific paper

10.1103/PhysRevD.59.064015

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.

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