2017
DOI: 10.1103/physrevd.95.066001
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Butterfly velocity bound and reverse isoperimetric inequality

Abstract: We study the butterfly effect of the AdS planar black holes in the framework of Einstein's general relativity. We find that the butterfly velocities can be expressed by a universal formula v 2 B = T S/(2V th P ). In doing so, we come upon a near-horizon geometrical formula for the thermodynamical volume V th . We verify the volume formula by examining a variety of AdS black holes. We also show that the volume formula implies that the conjectured reverse isoperimetric inequality follows straightforwardly from t… Show more

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Cited by 26 publications
(47 citation statements)
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References 63 publications
(89 reference statements)
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“…The thermodynamic volumes for the black holes we constructed in this paper can all be expressed locally as This formula is analogous to the one obtained in [9] for black holes in two-derivative gravities.…”
Section: Conclusion and Discussionmentioning
confidence: 95%
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“…The thermodynamic volumes for the black holes we constructed in this paper can all be expressed locally as This formula is analogous to the one obtained in [9] for black holes in two-derivative gravities.…”
Section: Conclusion and Discussionmentioning
confidence: 95%
“…In fact, for the local volume formula of static black holes proposed in [9], the CGKP conjecture becomes a simple consequence of the null-energy condition. However, counter examples were also found in some super rotating solutions where the horizon geometry becomes no longer compact [10,11].…”
Section: 2)mentioning
confidence: 99%
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