TY - JOUR
T1 - Symmetric hyperbolic system in the ashtekar formulation
AU - Yoneda, Gen
AU - Shinkai, Hisa Aki
PY - 1999
Y1 - 1999
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.82.263
DO - 10.1103/PhysRevLett.82.263
M3 - Article
AN - SCOPUS:0000135155
SN - 0031-9007
VL - 82
SP - 263
EP - 266
JO - Physical Review Letters
JF - Physical Review Letters
IS - 2
ER -