Erlangen 2026 – wissenschaftliches Programm
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GR: Fachverband Gravitation, Relativistische Astrophysik und Kosmologie
GR 9: Black Holes II
GR 9.2: Vortrag
Mittwoch, 18. März 2026, 14:00–14:15, KH 02.012
Rényi second laws for Charged AdS Black Hole — Alice Bernamonti1, Federico Galli1, and •Emiliano Rizza2 — 1Università degli Studi di Firenze, Florence, Italy — 2Jagiellonian University, Krakow, Poland
Hawking's black hole area theorem offers a geometric interpretation of the second law of thermodynamics, imposing fundamental constraints on gravitational dynamics. By examining entropic inequalities following from the monotonicity of Rényi entropies, it is shown that these constraints often set stricter bounds than those imposed by the area theorem in asymptotically AdS space.
This work aims to explore in detail the case of charged AdS black holes, which exhibit rich thermodynamic phase structures in the canonical ensemble. In particular, we study the coalescence of charged black holes in AdS, establishing a lower bound on the mass of the final state and an efficiency bound on the amount of gravitational radiation.
Keywords: AdS Black Hole; Rényi entropy