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https://doi.org/10.1103/physre...
Article . 2023 . Peer-reviewed
License: CC BY
Data sources: Crossref
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Fast scrambling of mutual information in Kerr- AdS4 spacetime

Authors: Vinay Malvimat; Rohan R. Poojary;

Fast scrambling of mutual information in Kerr- AdS4 spacetime

Abstract

We compute the disruption of mutual information between the hemispherical subsystems on the left and right conformal field theories of a thermofield double state described by a Kerr geometry in AdS4 due to shock waves along the equatorial plane. The shock waves and the subsystems considered respect the axisymmetry of the geometry. At late times, the disruption of the mutual information is given by the lengthening of the Hubeny-Rangamani-Takayanagi surface connecting the two subsystems; we compute the minimum value of the Lyapunov index-λL(min) at late times and find that it is bounded by κ=2πTH(1−μL), where μ is the horizon velocity, and L is the angular momentum per unit energy of the shock wave. At very late times, we find the scrambling time for such a system is governed by κ with κt*=logS for large black holes with a large entropy S. We also find a term that increases the scrambling time by log(1−μL)−1 but which does not scale with the entropy of the Kerr geometry.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Top 10%
Average
Top 10%
Green
hybrid