Einstein's equations in Ashtekar's variables constitute a symmetric hyperbolic system

Preprint

1 October 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/9710004

Abstract

We show that the 3+1 vacuum Einstein field equations in Ashtekar's variables constitutes a first order symmetric hyperbolic system for arbitrary but fixed lapse and shift fields, by suitable adding to the system terms proportional to the constraint equations.

Keywords

ASHTEKAR'S VARIABLES CONSTITUTES
EQUATIONS IN ASHTEKAR'S
EINSTEIN'S EQUATIONS
HYPERBOLIC SYSTEM
LAPSE

All Related Versions

Version 1, 1997-10-01, ArXiv
Published version: Physical Review Letters, 79 (24), 4732.

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