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

Abstract

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

References in corpus (3)

• Reality Conditions and Ashtekar Variables: a Different Perspective
• General covariance, loops and matter
• General Relativity as a Theory of Two Connections

Cited by in corpus (10)

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• A discrete discontinuity between the two phases of gravity
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• Three roads to the geometric constraint formulation of gravitational theories with boundaries
• Dynamical time and Ashtekar variables for the Husain-Kuchař model
• Solvable model for quantum gravity
• Time, clocks, parametric invariance and the Pioneer Anomaly
• Hidden diffeos in the Hamiltonian formulation of a background independent field theory