TY - JOUR
T1 - Constraints and reality conditions in the Ashtekar formulation of general relativity
AU - Yoneda, Gen
AU - Shinkai, Hisaaki
PY - 1996
Y1 - 1996
N2 - 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.
AB - 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.
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U2 - 10.1088/0264-9381/13/4/017
DO - 10.1088/0264-9381/13/4/017
M3 - Article
AN - SCOPUS:21344472589
SN - 0264-9381
VL - 13
SP - 783
EP - 790
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
IS - 4
ER -