Complexity as a holographic probe of strong cosmic censorship

Mohsen Alishahiha (School of Physics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531 Tehran, Iran) ; Souvik Banerjee (Institut für Theoretische Physik und Astrophysik, Julius-Maximilians-Universität Würzburg, Am Hubland, 97074 Würzburg, Germany) ; Joshua Kames-King (Bethe Center for Theoretical Physics and Physikalisches Institut der Universitaet Bonn, Nussallee 12, 53115 Bonn, Germany; Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106, USA) ; Emma Loos (Institut für Theoretische Physik und Astrophysik, Julius-Maximilians-Universität Würzburg, Am Hubland, 97074 Würzburg, Germany)

Based on reasonable assumptions, we propose a new expression for Lloyd’s bound, which confines the complexity growth of charged black holes. We then revisit holographic complexity for charged black branes in the presence of a finite cutoff. Using the proposed Lloyd’s bound we find a relation between the UV and the behind the horizon cutoff. This is found to be consistent with the factorization of the partition function at leading order in large N. We argue that the result may be thought of as a holographic realization of strong cosmic censorship.

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      "value": "Based on reasonable assumptions, we propose a new expression for Lloyd\u2019s bound, which confines the complexity growth of charged black holes. We then revisit holographic complexity for charged black branes in the presence of a finite cutoff. Using the proposed Lloyd\u2019s bound we find a relation between the UV and the behind the horizon cutoff. This is found to be consistent with the factorization of the partition function at leading order in large <math><mrow><mi>N</mi></mrow></math>. We argue that the result may be thought of as a holographic realization of strong cosmic censorship."
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Published on:
03 January 2022
Publisher:
APS
Published in:
Physical Review D , Volume 105 (2022)
Issue 2
DOI:
https://doi.org/10.1103/PhysRevD.105.026001
arXiv:
2106.14578
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: