Symmetric hyperbolic system in the Ashtekar formulation
Yoneda, Gen ; Shinkai, Hisa-aki
arXiv, 9803077 / Harvested from arXiv
Text on arXiv
We present a first-order symmetric hyperbolic system in the Ashtekar formulation of general relativity for vacuum spacetime. We add terms from constraint equations to the evolution equations with appropriate combinations, which is the same technique used by Iriondo, Leguizam\'on and Reula [Phys. Rev. Lett. 79, 4732 (1997)]. However our system is different from theirs in the points that we primarily use Hermiticity of a characteristic matrix of the system to characterize our system "symmetric", discuss the consistency of this system with reality condition, and show the characteristic speeds of the system.
Publié le : 1998-03-24
Classification:  General Relativity and Quantum Cosmology,  Mathematical Physics 
@article{9803077,
     author = {Yoneda, Gen and Shinkai, Hisa-aki},
     title = {Symmetric hyperbolic system in the Ashtekar formulation},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9803077}
}

Yoneda, Gen; Shinkai, Hisa-aki. Symmetric hyperbolic system in the Ashtekar formulation. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9803077/