2015/02/04 by Antonia M. Frassino, Antonia Micol Frassino, Frassino, Antonia Micol
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Quantum Electrodynamics and Casimir Effect #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.1502.01305
6 pages. Contribution to the Proceedings of the Karl Schwarzschild Meeting (Frankfurt, July 22-26, 2013)
arxiv created 2015/02/04 · openalex publication_date 2015/02/04 · arxiv updated 2015/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.