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Entropy of Constrained Gravitational Instanton

1998/12/17 by Wu Zhong Chao
Physics and Astronomy · #gr-qc

paper · pdf

published as Gen.Rel.Grav. 31 (1999) 1097-1103 · 8 pages

arxiv created 1998/12/17 · arxiv updated 2009/11/30

Abstract

The seeds for quantum creations of universes are constrained gravitational instantons. For all compact constrained instantons with U(1) isometry, the period β of the group parameter τ is identified as the reciprocal of the temperature. If β remains a free parameter under the constraints, then the Euclidean action becomes the negative of the "entropy". As examples, we perform the calculations for the Taub-NUT and Taub-bolt-type models and study the quantum creation of the Taub-NUT universe.

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