ILL-POSEDNESS OF A DOUBLE-NULL FREE-EVOLUTION SCHEME FOR BLACK-HOLE SPACETIMES

Authors
GUNDLACH C PULLIN J
Citation
C. Gundlach et J. Pullin, ILL-POSEDNESS OF A DOUBLE-NULL FREE-EVOLUTION SCHEME FOR BLACK-HOLE SPACETIMES, Classical and quantum gravity, 14(4), 1997, pp. 991-997
Citations number
13
Categorie Soggetti
Physics
Journal title
Classical and quantum gravity → ACNP
ISSN journal
02649381
Volume
14
Issue
4
Year of publication
1997
Pages
991 - 997
Database
ISI
SICI code
0264-9381(1997)14:4<991:IOADFS>2.0.ZU;2-C
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 bl ack hole spacetimes, independently of how the equations are difference d. As an example we consider the evolution of Schwarzschild and Reissn er-Nordstrom spacetimes in double-null coordinates.