On the Thermodynamics of 5D Black Holes on ALF Gravitational Instantons

Abstract

We investigate the thermodynamical properties of solutions to the 5D Einstein and Einstein-Maxwell-dilaton equations describing static black holes on ALF gravitational instantons. Some general expressions regarding the nut charge and potential are derived, as well as Smarr-like relations. The thermodynamics of two particular solutions representing a static black hole on Taub-Nut and Taub-Bolt instantons are examined in detail. Two dierent approaches for computation of the mass and the tension - the Komar and counterterm method, are applied and compared. A new charged black hole on Taub-Bolt instanton is constructed and investigated.

31 pages, 1 figure; v2: typos corrected, references added

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Cited by in corpus (13)

• Magnetized Black Hole on Taub-Nut Instanton
• Thermodynamics of five-dimensional static three-charge STU black holes with squashed horizons
• Charged rotating Kaluza-Klein multi-black holes and multi-black strings in five-dimensional Einstein-Maxwell theory
• Kaluza-Klein vacuum multi-black holes in five-dimensions
• New Magnetized Squashed Black Holes -- Thermodynamics and Hawking Radiation
• A simple diagnosis of non-smoothness of black hole horizon: Curvature singularity at horizons in extremal Kaluza-Klein black holes
• Charged Black Holes in a Five-dimensional Kaluza-Klein Universe
• Charged rotating dilaton black holes with Kaluza-Klein asymptotics
• Charged black holes on the Taub-Bolt instanton
• A pair of extremal charged black holes on Kerr-Taub-bolt space
• A black ring on the Taub-bolt instanton in five dimensions
• New forms and thermodynamics of the neutral rotating squashed black hole in five-dimensional vacuum Einstein gravity theory
• Static four-charge squashed black hole in five-dimensional $STU-W^{2}U$ supergravity and its thermodynamics