Trick for passing degenerate points in the Ashtekar formulation

Gen Yoneda, Hisa Aki Shinkai, Akika Nakamichi

    Research output: Contribution to journalArticle

    16 Citations (Scopus)

    Abstract

    We examine one of the advantages of Ashtekar's formulation of general relativity: a tractability of degenerate points from the point of view of following the dynamics of classical spacetime. Assuming that all dynamical variables are finite, we conclude that an essential trick for such a continuous evolution is in complexifying variables. In order to restrict the complex region locally, we propose some "reality recovering" conditions on spacetime. Using a degenerate solution derived by a pullback technique, and integrating the dynamical equations numerically, we show that this idea works in an actual dynamical problem. We also discuss some features of these applications.

    Original languageEnglish
    Pages (from-to)2086-2093
    Number of pages8
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume56
    Issue number4
    Publication statusPublished - 1997 Aug 15

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    Space-time
    formulations
    Formulation
    Tractability
    Pullback
    General Relativity
    relativity

    ASJC Scopus subject areas

    • Mathematical Physics
    • Physics and Astronomy(all)
    • Nuclear and High Energy Physics
    • Physics and Astronomy (miscellaneous)

    Cite this

    Trick for passing degenerate points in the Ashtekar formulation. / Yoneda, Gen; Shinkai, Hisa Aki; Nakamichi, Akika.

    In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 56, No. 4, 15.08.1997, p. 2086-2093.

    Research output: Contribution to journalArticle

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