English

Entropy of Constrained Gravitational Instanton

General Relativity and Quantum Cosmology 2007-05-23 v2

Abstract

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

Keywords

Cite

@article{arxiv.gr-qc/9812051,
  title  = {Entropy of Constrained Gravitational Instanton},
  author = {Wu Zhong Chao},
  journal= {arXiv preprint arXiv:gr-qc/9812051},
  year   = {2007}
}

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8 pages