The Extended Thermodynamic Properties of a topological Taub-NUT/Bolt-AdS spaces

TL;DR

This paper explores the thermodynamic properties of higher-dimensional topological Taub-NUT/Bolt-AdS spaces, revealing new stable regions and phase behaviors analogous to black hole thermodynamics, with explicit calculations and stability analysis.

Contribution

It introduces explicit thermodynamic quantities for these solutions, finds a new stable NUT region, and analyzes phase structures similar to black holes.

Findings

Discovery of a new thermodynamically stable NUT region.

Identification of two-phase structure in Bolt solutions.

Confirmation that thermodynamic quantities satisfy Clapeyron equation.

Abstract

We consider higher dimensional topological Taub-NUT/Bolt-AdS solutions where a cosmological constant is treated as a pressure. The thermodynamic quantities of these solutions are explicitly calculated. Furthermore, we find these thermodynamic quantities satisfy the Clapeyron equation. In particular, a new thermodynamically stable region for the NUT solution is found by studying the Gibbs free energy. Intriguingly, we also find that like the AdS black hole case, the G-T diagram of the Bolt solution has two branches which are joined at a minimum temperature. The Bolt solution with the large radius, at the lower branch, becomes stable beyond a certain temperature while the Bolt solution with the small radius, at the upper branch, is always unstable.