The Husain-Kuchar Model: Time Variables and Non-degenerate Metrics

Details The Husain-Kuchar Model: Time Variables and Non-degenerate Metrics The Husain-Kuchar Model: Time Variables and Non-degenerate Metrics

1998-03-12

arxiv.org/abs/gr-qc/9803043v1

Phys.Rev.D57:6104-6112,1998

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX, 22 pages, accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.57.6104

We study the Husain-Kuchar model by introducing a new action principle similar to the self-dual action used in the Ashtekar variables approach to Quantum Gravity. This new action has several interesting features; among them, the presence of a scalar time variable that allows the definition of geometric observables without adding new degrees of freedom, the appearance of a natural non-degenerate four-metric and the possibility of coupling ordinary matter.

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