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Zero temperature black holes and the failure of semi-classical analysis
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The extreme Reissner-Nordstr\"om black holes have zero surface gravity. However, a semi-classical analysis seems to be ill-definite for these objects and apparently no notion of temperature exists for them. It is argued here that these properties are shared for all kind of black holes whose surface gravity is zero. Two examples are worked out explicitely: the scalar-tensor cold black holes and extreme black holes resulting from a gravity system coupled to a generalized Maxwell field in higher dimensions. The reasons for this anomolous behaviour are discussed as well as its thermodynamics implications.
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Cited by 1 Pith paper
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Relativistic structure of a supermassive black hole embedded in the dark matter halo of NGC 4649 (M60)
A proposed exact black hole solution in an empirical dark matter halo of NGC 4649 is internally inconsistent: the claimed metric does not satisfy the paper's own field equation for F(r).
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