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Title:
Long term stable integration of a maximally sliced Schwarzschild black hole using a smooth lattice method
Authors:
Brewin, Leo
Affiliation:
AA(Department of Mathematics & Statistics, Monash University, Clayton, Victoria 3800, Australia)
Publication:
Classical and Quantum Gravity, Volume 19, Issue 3, pp. 429-455 (2002).
Publication Date:
02/2002
Origin:
IOP
DOI:
10.1088/0264-9381/19/3/302
Bibliographic Code:
2002CQGra..19..429B

Abstract

We will present results of a numerical integration of a maximally sliced Schwarzschild black hole using a smooth lattice method. The results show no signs of any instability forming during the evolutions to t = 1000m. The principle features of our method are (i) the use of a lattice to record the geometry, (ii) the use of local Riemann normal coordinates to apply the 1 + 1 ADM equations to the lattice and (iii) the use of the Bianchi identities to assist in the computation of the curvatures. No other special techniques are used. The evolution is unconstrained and the ADM equations are used in their standard form.
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