Simplicial Brill wave initial data

Details Simplicial Brill wave initial data Simplicial Brill wave initial data

1999-01-25

arxiv.org/abs/gr-qc/9901071v1

Class.Quant.Grav. 16 (1999) 1987-2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, LaTeX 2e, 13 eps figures. Submitted to CQG

Scientific paper

10.1088/0264-9381/16/6/327

Regge calculus is used to construct initial data for vacuum axisymmetric Brill waves at a moment of time symmetry. We argue that only a tetrahedral lattice can successfully reproduce the continuum solution, and develop a simplicial axisymmetric lattice based on the co-ordinate structure of the continuum metric. This is used to construct initial data for Brill waves in an otherwise flat spacetime, and for the distorted black hole spacetime of Bernstein. These initial data sets are shown to be second order accurate approximations to the corresponding continuum solutions.

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