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Phys. Rev. D 57, 6104–6112 (1998)

Husain-Kuchař model: Time variables and nondegenerate metrics

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J. Fernando Barbero G., Alfredo Tiemblo, and Romualdo Tresguerres
Centro de Física “Miguel Catalán,” Instituto de Matemáticas y Física Fundamental, CSIC, Serrano 113 bis, 28006 Madrid, Spain

Received 26 November 1997; published in the issue dated 15 May 1998

We study the Husain-Kuchař 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 nondegenerate four-metric, and the possibility of coupling ordinary matter.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.57.6104
DOI:
10.1103/PhysRevD.57.6104
PACS:
04.20.Cv, 04.20.Fy