On the Thermodynamics of 5D Black Holes on ALF Gravitational Instantons
Petya Nedkova, Stoytcho S. Yazadjiev
TL;DR
This paper explores the thermodynamics of 5D black holes on ALF gravitational instantons, deriving new relations, analyzing specific solutions, and introducing a novel charged black hole on Taub-Bolt instanton.
Contribution
It provides new thermodynamic relations for 5D black holes on ALF instantons and constructs a new charged black hole solution on Taub-Bolt instanton.
Findings
Derived general expressions for nut charge and potential.
Compared Komar and counterterm methods for mass and tension calculation.
Constructed and analyzed a new charged black hole on Taub-Bolt instanton.
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.
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