Gravitational Entropy and Global Structure

Details Gravitational Entropy and Global Structure Gravitational Entropy and Global Structure

1998-08-14

arxiv.org/abs/hep-th/9808085v2

Phys.Rev. D59 (1999) 044025

Physics

High Energy Physics

High Energy Physics - Theory

18 pages. References added

Scientific paper

10.1103/PhysRevD.59.044025

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.

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