Abstract
We study a solution of the Einstein’s equations generated by a self-gravitating, anisotropic, static, non-singular matter fluid. The resulting Schwarzschild-like solution is regular and accounts for smearing effects of noncommutative fluctuations of the geometry. We call this solution regular Schwarzschild spacetime. In the presence of an Anti-deSitter cosmological term, the regularized metric offers an extension of the Hawking–Page transition into a van der Waals-like phase diagram. Specifically, the regular Schwarzschild-Anti-deSitter geometry undergoes a first order small/large black hole transition similar to the liquid/gas transition of a real fluid. In the present analysis, we have considered the cosmological constant as a dynamical quantity, and its variation is included in the first law of black hole thermodynamics.
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Acknowledgements
This work has been supported by the Helmholtz Research School for Quark Matter Studies (H-QM). The author is grateful to P. Nicolini and D. Kubiznak for having carefully read the draft and provided valuable comments.
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Frassino, A.M. (2018). Phase Transitions of Regular Schwarzschild-Anti-deSitter Black Holes. In: Nicolini, P., Kaminski, M., Mureika, J., Bleicher, M. (eds) 2nd Karl Schwarzschild Meeting on Gravitational Physics. Springer Proceedings in Physics, vol 208. Springer, Cham. https://doi.org/10.1007/978-3-319-94256-8_15
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DOI: https://doi.org/10.1007/978-3-319-94256-8_15
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