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 (Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106, USA, Bethe Center for Theoretical Physics and Physikalisches Institut der Universitaet Bonn, Nussallee 12, 53115 Bonn, Germany); 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 . We argue that the result may be thought of as a holographic realization of strong cosmic censorship.
