Topological dyonic Taub-Bolt/NUT-AdS: Thermodynamics and first law

Abstract

Motivated by the absence of Misner string in the Euclidean Taub-Bolt/NUT solutions with flat horizons, we present a new treatment for studying the thermodynamics of these spactimes. This treatment is based on introducing a new charge, $N=\sigma n$ (where $n$ is the nut charge and $\sigma$ is some constant) and its conjugate thermodynamic potential ${\Phi }_N$. Upon identifying one of the spatial coordinates, the boundary of these solutions contains two annulus-like surfaces in addition to the constant-r surface. For these solutions, we show that these annuli surfaces receive electric, magnetic and mass/energy fluxes, therefore, they have nontrivial contributions to these conserved charges. Calculating these conserved charges we find, $Q_e=Q_e^{\infty }-2N{\Phi }_m$, $Q_m=Q_m^{\infty }+2N{\Phi }_e$ and $\mathfrak{M}=M-2N{\Phi }_N$, where $Q_e^{\infty }$, $Q_m^{\infty }$, $M$ are electric charge, magnetic charge and mass in the $n=0$ case, while ${\Phi }_e$ and ${\Phi }_m$ are the electric and magnetic potentials. The calculated thermodynamic quantities obey the first law of thermodynamics while the entropy is the area of the horizon. Furthermore, all these quantities obey Smarr's relation. We show the consistency of these results through calculating the Hamiltonian and its variation which reproduces the first law.

22 pages, one figure

References in corpus (3)

• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• New Taub-NUT-Reissner-Nordström spaces in higher dimensions
• General Smarr relation and first law of Nutty dyonic black hole

Cited by in corpus (12)

• Classifying topology of consistent thermodynamics of the four-dimensional neutral Lorentzian NUT-charged spacetimes
• Thermodynamics of Taub-NUT and Plebanski Solutions
• Consistent mass formulas for the four-dimensional dyonic NUT-charged spacetimes
• Lorentzian Taub-NUT spacetimes: Misner string charges and the first law
• Fermionic and Bosonic Greybody Factors as well as Quasinormal Modes for Charged Taub NUT Black Holes
• Consistent mass formulas for higher even-dimensional Taub-NUT spacetimes and their AdS counterparts
• Consistent mass formulas for higher even-dimensional Reissner-Nordström-NUT-AdS spacetimes
• Revisiting mass formulas of the four-dimensional Reissner-Nordström-NUT-AdS solutions in a different metric form
• Dyonic Taub-NUT-AdS: Unconstraint Thermodynamics and Phase Structure
• Dyonic Taub-NUT-AdS Spaces: Phase Structures of all Horizon Geometries
• Conformal scalar NUT-like dyons in conformal electrodynamics
• Dyonic Taub-NUT-AdS Black Branes: Thermodynamics and Phase Diagrams