Constraints and reality conditions in the Ashtekar formulation of general relativity

Gen Yoneda, Hisaaki Shinkai

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

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
Volume13
Issue number4
DOIs
Publication statusPublished - 1996 Dec 1

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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