Ill-posedness of a double-null free-evolution scheme for black hole spacetimes


Gundlach, Carsten and Pullin, Jorge (1997) Ill-posedness of a double-null free-evolution scheme for black hole spacetimes. Classical and Quantum Gravity, 14, (4), 991-997. (doi:10.1088/0264-9381/14/4/014).

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Description/Abstract

We suggest that `free-evolution' integration schemes for the Einstein equations (that do not enforce constraints) may contain exponentially growing modes that render them useless in numerical integrations of black hole spacetimes, independently of how the equations are differenced. As an example we consider the evolution of Schwarzschild and Reissner - Nordström spacetimes in double-null coordinates.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1088/0264-9381/14/4/014
Related URLs:
Subjects: Q Science > QA Mathematics
Divisions : University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics
ePrint ID: 29174
Accepted Date and Publication Date:
Status
1997Published
Date Deposited: 06 Feb 2007
Last Modified: 31 Mar 2016 11:54
URI: http://eprints.soton.ac.uk/id/eprint/29174

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