Constraints and reality conditions in the Ashtekar formulation of general relativity

Gen Yoneda, Hisaaki Shinkai

    Research output: Contribution to journalArticle

    15 Citations (Scopus)


    We show how to treat the constraints and reality conditions in the SO(3)-ADM (Ashtekar) formulation of general relativity, for the case of a vacuum spacetime with a cosmological constant. We clarify the difference between the reality conditions on the metric and on the triad. Assuming the triad reality condition, we find a new variable, allowing us to solve the gauge constraint equations and the reality conditions simultaneously.

    Original languageEnglish
    Pages (from-to)783-790
    Number of pages8
    JournalClassical and Quantum Gravity
    Issue number4
    Publication statusPublished - 1996


    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this