Phys. Rev. Lett. 82, 263–266 (1999)Symmetric Hyperbolic System in the Ashtekar FormulationReceived 24 March 1998; published in the issue dated 11 January 1999 We present a first-order symmetric hyperbolic system in the Ashtekar formulation of general relativity for vacuum spacetime. We add terms from the constraint equations to the evolution equations with appropriate combinations, which is the same technique used by Iriondo, Leguizamón, and Reula [Phys. Rev. Lett. 79, 4732 (1997)]. However, our system is different from theirs in that we primarily use Hermiticity of a characteristic matrix of the system to characterize our system symmetric, discuss the consistency of this system with a reality condition, and show the characteristic speeds of the system. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.82.263
DOI:
10.1103/PhysRevLett.82.263
PACS:
04.20.Cv, 04.20.Ex, 04.20.Fy
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.