The Black Hole Entropy Distance Conjecture and Black Hole Evaporation

Lüben, Marvin; Lüst, Dieter; Metidieri, Ariadna Ribes

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The Black Hole Entropy Distance Conjecture and Black Hole Evaporation

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Lüben, Marvin
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Lüst, Dieter
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Metidieri, Ariadna Ribes
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

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Citation

Lüben, M., Lüst, D., & Metidieri, A. R. (2021). The Black Hole Entropy Distance Conjecture and Black Hole Evaporation. Fortschritte der Physik/Progress of Physics, 69, 2000130. Retrieved from https://publications.mppmu.mpg.de/?action=search&mpi=MPP-2020-210.

Cite as: https://hdl.handle.net/21.11116/0000-000A-1BBC-5

Abstract

We extend the recently proposed Black Hole Entropy Distance Conjecture to the case of charged black holes in de Sitter space. By systematically studying distances in the space of black hole geometries with multiple horizons, we find that the distance is generically related to the logarithm of the entropy. From the infinite distance conjecture this predicts the appearance of a massless tower of modes in the limit of infinite entropy. Further, we study the evaporation of these black holes and relate it to the geometric distance. We find that the corresponding distance to the final stage of evaporation is finite. We conclude that evaporation does not lead to the appearance of a light tower of black hole microstates.