Symmetric Hyperbolic System in the Ashtekar Formulation

Gen Yoneda, Hisa Aki Shinkai

    Research output: Contribution to journalArticle

    24 Citations (Scopus)

    Abstract

    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.

    Original languageEnglish
    Pages (from-to)263-266
    Number of pages4
    JournalPhysical Review Letters
    Volume82
    Issue number2
    Publication statusPublished - 1999 Jan 11

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    hyperbolic systems
    formulations
    relativity
    vacuum
    matrices

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Symmetric Hyperbolic System in the Ashtekar Formulation. / Yoneda, Gen; Shinkai, Hisa Aki.

    In: Physical Review Letters, Vol. 82, No. 2, 11.01.1999, p. 263-266.

    Research output: Contribution to journalArticle

    Yoneda, Gen ; Shinkai, Hisa Aki. / Symmetric Hyperbolic System in the Ashtekar Formulation. In: Physical Review Letters. 1999 ; Vol. 82, No. 2. pp. 263-266.
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