Apparent horizons in simplicial Brill wave initial data

Details Apparent horizons in simplicial Brill wave initial data Apparent horizons in simplicial Brill wave initial data

1998-12-16

arxiv.org/abs/gr-qc/9812057v1

Class.Quant.Grav. 16 (1999) 1979-1985

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, 6 EPS figures, LaTeX 2e. Submitted to Class. Quant. Grav

Scientific paper

10.1088/0264-9381/16/6/326

We construct initial data for a particular class of Brill wave metrics using Regge calculus, and compare the results to a corresponding continuum solution, finding excellent agreement. We then search for trapped surfaces in both sets of initial data, and provide an independent verification of the existence of an apparent horizon once a critical gravitational wave amplitude is passed. Our estimate of this critical value, using both the Regge and continuum solutions, supports other recent findings.

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