Complement to thermodynamics of dyonic Taub-NUT-AdS spacetime

TL;DR

This paper investigates the thermodynamics of dyonic Taub-NUT-AdS4 black holes, revealing how gauge field regularity conditions affect their thermodynamic properties and distinguishing features from other black hole solutions.

Contribution

It introduces new regularity conditions for dyonic Taub-NUT-AdS4 solutions and analyzes their impact on thermodynamic relations and phase behavior.

Findings

Regularity conditions constrain electric and magnetic charges.

Dyonic solutions exhibit both positive and negative heat capacities.

Extremal solutions show finite-temperature-like behavior with electric potential acting as temperature.

Abstract

We examine the thermodynamics of Euclidean dyonic Taub-NUT/Bolt-AdS4 black holes for a variety of horizon geometries to understand how gauge field regularity conditions influence the thermodynamic relations. We find several distinct features that distinguish the NUT-charged case from its dyonic Reissner-Nordstrom counterpart. For the NUT solution, the gauge field vanishes at the horizon and so regularity is ensured. For the Bolt solution we find that the norm of the gauge field is required to vanish at the horizon in order to satisfy both regularity and the first law of thermodynamics. This regularity condition yields a constraint on the electric and magnetic charges and so reduces cohomogeneity of the system; for spherical horizons, the regularity condition removing the Misner string singularity further reduces cohomogeneity, We observe that bolt solutions with increasing electric charge have positive heat capacity, but upon turning on the magnetic charge to make the solution dyonic, we find that the properties of the uncharged one are retained, having both positive and negative heat capacity. We also study the extremal Bolt solution, finding that Misner string disappears at the horizon in the zero temperature limit. We find that the extremal solution has finite-temperature-like behaviour, with the electric potential playing a role similar to temperature.