Mass and Free energy in Thermodynamics of Squashed Kaluza-Klein Black Holes

Abstract

The Abbott-Deser mass, the Hamiltonian and the Komar mass of the 5-dimensional Kaluza-Klein black hole with squashed horizons take different values. Introducing a new couple of thermodynamic variables for the Komar mass, we show that each mass can be interpreted as a thermodynamic potential with its own natural variables, i.e. all masses are related to each other by the Legendre transformations. It is found that the new variables and the gravitational tension represent the squashing of the outer horizon.

11 pages, discussion extended

References in corpus (4)

• Instabilities of Black Strings and Branes
• Mass and Thermodynamics of Kaluza-Klein Black Holes with Squashed Horizons
• Stresses and Strains in the First Law for Kaluza-Klein Black Holes
• The First Law for Boosted Kaluza-Klein Black Holes

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• Static four-charge squashed black hole in five-dimensional $STU-W^{2}U$ supergravity and its thermodynamics
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• Squashed black holes at large $D$