Dyonic Taub-NUT-AdS: Unconstraint Thermodynamics and Phase Structure
arXiv:2304.06705 · doi:10.1103/PhysRevD.108.064022
Abstract
Here we extend the approach developed in \cite{adel_2} to study the thermodynamics of Taub-NUT-AdS and dyonic Taub-NUT-AdS solutions. Furthermore, we investigate in details the possible phase structures of the dyonic Taub-NUT-AdS solution. We show that the first law, Gibbs-Duhem and Smarr's relations are all satisfied for both solutions. Our study of phase structures shows some intriguing features, which were not reported before, among which the existence of two distinguished critical points with a region of continuous phase transitions in between, and the possibility of merging them into one point. To analyze these phases we consider both canonical and mixed ensembles. The two distinguished critical points occur for the canonical case as well as the mixed cases with . Another interesting case is the mixed ensemble with , where we have one critical point but the continuous phase transition region in the diagram is close to the origin, in contrast with what happens in Reissner-Nordstrom-AdS solutions and Van der Waals fluids, i.e., the continuous phase transition happens only for low enough pressures and temperatures!
arXiv comment35 pages, 18 figures, typo corrections
References in corpus (24)
- A Stress Tensor for Anti-de Sitter Gravity
- P-V criticality of charged AdS black holes
- Charged AdS Black Holes and Catastrophic Holography
- Enthalpy and the Mechanics of AdS Black Holes
- Surface Terms as Counterterms in the AdS/CFT Correspondence
- The cosmological constant and the black hole equation of state
- Nut Charge, Anti-de Sitter Space and Entropy
- Large N Phases, Gravitational Instantons and the Nuts and Bolts of AdS Holography
- Gravitational Entropy and Global Structure
- The Action of Instantons with Nut Charge
- Rehabilitating space-times with NUTs
- Thermodynamics of Lorentzian Taub-NUT spacetimes
- Physical interpretation of NUT solution
- NUT wormholes
- Thermodynamical hairs of the four-dimensional Taub-Newman-Unti-Tamburino spacetimes
- Misner Gravitational Charges and Variable String Strengths
- The First Law for Rotating NUTs
- Topology with Dynamical Overlap Fermions
- General Smarr relation and first law of Nutty dyonic black hole
- Lorentzian Taub-NUT spacetimes: Misner string charges and the first law
- The First Law for the Lorentzian Rotating Taub-NUT
- Complement to thermodynamics of dyonic Taub-NUT-AdS spacetime
- Topological dyonic Taub-Bolt/NUT-AdS: Thermodynamics and first law
- Thermodynamics of Dyonic NUT Charged Black Holes with Entropy as Noether Charge