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Gravitational Entropy and Global Structure
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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.
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Cited by 1 Pith paper
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Kerr-NUT Thermodynamics: Misner Strings and Nut Charges
A conserved charge built from the nut parameter and the Misner string parameter completes the first law of Kerr-NUT thermodynamics.
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