Entropy of Constrained Gravitational Instanton

Details Entropy of Constrained Gravitational Instanton Entropy of Constrained Gravitational Instanton

1998-12-15

arxiv.org/abs/gr-qc/9812051v2

Gen.Rel.Grav. 31 (1999) 1097-1103

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages

Scientific paper

The seeds for quantum creations of universes are constrained gravitational instantons. For all compact constrained instantons with U(1) isometry, the period $\beta$ of the group parameter $\tau$ is identified as the reciprocal of the temperature. If $\beta$ 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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