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

G., J. Fernando Barbero; Tiemblo, Alfredo; Treseguerres, Romualdo

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

Authors

G., J. Fernando Barbero

Tiemblo, Alfredo

Treseguerres, Romualdo

Description

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