Symmetric hyperbolic system in the ashtekar formulation

Gen Yoneda, Hisa Aki Shinkai

研究成果: Article査読

23 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)263-266
ページ数4
ジャーナルPhysical Review Letters
82
2
DOI
出版ステータスPublished - 1999

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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