Entropy of Constrained Gravitational Instanton
Wu Zhong Chao (Beijing Normal University)
TL;DR
This paper explores the entropy associated with constrained gravitational instantons, analyzing their role in quantum universe creation, with specific calculations for Taub-NUT and Taub-bolt models.
Contribution
It introduces a novel perspective on the entropy of constrained gravitational instantons and applies this framework to specific models like Taub-NUT and Taub-bolt.
Findings
Euclidean action relates to entropy in constrained instantons.
Calculated quantum creation probabilities for Taub-NUT universe.
Demonstrated the role of period parameter in instanton thermodynamics.
Abstract
The seeds for quantum creations of universes are constrained gravitational instantons. For all compact constrained instantons with U(1) isometry, the period of the group parameter is identified as the reciprocal of the temperature. If 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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Taxonomy
TopicsCosmology and Gravitation Theories · Advanced Thermodynamics and Statistical Mechanics