Constraints and reality conditions in the Ashtekar formulation of general relativity

Gen Yoneda, Hisaaki Shinkai

研究成果: Article

15 引用 (Scopus)

抜粋

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.

元の言語English
ページ(範囲)783-790
ページ数8
ジャーナルClassical and Quantum Gravity
13
発行部数4
DOI
出版物ステータスPublished - 1996 12 1

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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