EINSTEINS EQUATION IN ASHTEKARS VARIABLES CONSTITUTES A SYMMETRICAL HYPERBOLIC SYSTEM

Citation
Ms. Iriondo et al., EINSTEINS EQUATION IN ASHTEKARS VARIABLES CONSTITUTES A SYMMETRICAL HYPERBOLIC SYSTEM, Physical review letters, 79(24), 1997, pp. 4732-4735
Citations number
10
Journal title
ISSN journal
00319007
Volume
79
Issue
24
Year of publication
1997
Pages
4732 - 4735
Database
ISI
SICI code
0031-9007(1997)79:24<4732:EEIAVC>2.0.ZU;2-G
Abstract
We show that the 3 + 1 vacuum Einstein field equation in Ashtekar's va riables constitutes a first-order symmetric hyperbolic system for arbi trary but fixed lapse and shift fields, by suitable adding to the syst em terms proportional to the constraint equations.