The Black Hole Entropy Distance Conjecture and Black Hole Evaporation

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 en...

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Bibliographic Details
Published in:arXiv.org 2020-12
Main Authors: Lüben, Marvin, Lust, Dieter, Ariadna Ribes Metidieri
Format: Article
Language:English
Subjects:
Entropy
Evaporation
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2011.12331