# First law for Kerr Taub-NUT AdS black holes

@article{Rodriguez2021FirstLF, title={First law for Kerr Taub-NUT AdS black holes}, author={Nelson Hern'andez Rodr'iguez and Maria J Rodriguez}, journal={Journal of High Energy Physics}, year={2021}, volume={2022} }

The first law of black hole mechanics, which relates the change of energy to the change of entropy and other conserved charges, has been the main motivation for probing the thermodynamic properties of black holes. In this work, we investigate the thermodynamics of Kerr Taub-NUT AdS black holes. We present geometric Komar definitions for the black hole charges, that by construction satisfy the Smarr formula. Further, by a scaling argument based on Euler’s theorem, we establish the first law for…

## 4 Citations

### Thermodynamics of Taub-NUT and Plebanski solutions

- PhysicsJournal of High Energy Physics
- 2022

We observe the parallel between the null Killing vector on the horizon and degenerate Killing vectors at both north and south poles in Kerr-Taub-NUT and general Plebanski solutions. This suggests a…

### CFT duals of Kerr-Taub-NUT and beyond

- Physics
- 2022

The duality relating the four-dimensional Kerr-Taub-NUT black hole to a thermal two-dimensional CFT with central charges cL = cR = 12J0 is analyzed in detail, generalizing an argument given recently…

### Dual charges for AdS spacetimes and the first law of black hole mechanics

- PhysicsPhysical Review D
- 2022

We apply the recent derivations of dual charges in asymptotically ﬂat spacetimes to asymptotically locally AdS spacetimes. In contrast to the results in the ﬂat case, in the AdS case with a Dirichlet…

### Revisiting mass formulae of the four-dimensional Reissner-Nordstr\"{o}m-NUT-AdS solutions in a different metric form

- Mathematics
- 2022

Recently, the so-called “consistent thermodynamics” of the Lorentzian Reissner-Nordstr¨om (RN)-NUT-AdS 4 spacetimes has been pursued by a lot of efforts via different means. Among these attempts, we…

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