Gravitational Entropy and Global Structure

Abstract

The underlying reason for the existence of gravitational entropy is traced to the impossibility of foliating topologically non-trivial Euclidean spacetimes with a time function to give a unitary Hamiltonian evolution. In $d$ dimensions the entropy can be expressed in terms of the $d-2$ obstructions to foliation, bolts and Misner strings, by a universal formula. We illustrate with a number of examples including spaces with nut charge. In these cases, the entropy is not just a quarter the area of the bolt, as it is for black holes.

18 pages. References added

References in corpus (3)

• Gauge Theory Correlators from Non-Critical String Theory
• Nut Charge, Anti-de Sitter Space and Entropy
• The Action of Instantons with Nut Charge

Cited by in corpus (126)

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