JHEP05(2019)127
Published for SISSA by Springer
Received: May 4, 2019
Accepted: May 13, 2019
Published: May 22, 2019
Restricted Maximin surfaces and HRT in generic
black hole spacetimes
Donald Marolf,
a
Aron C. Wall
b
and Zhencheng Wang
a
a
Department of Physics, University of California,
Santa Barbara, CA 93106, U.S.A.
b
Stanford Institute for Theoretical Physics, Stanford University,
382 Via Pueblo, Stanford, CA 94305, U.S.A.
E-mail: marolf@physics.ucsb.edu, aroncwall@gmail.com,
zhencheng@physics.ucsb.edu
Abstract: The AdS/CFT understanding of CFT entanglement is based on HRT sur-
faces in the dual bulk spacetime. While such surfaces need not exist in sufficiently general
spacetimes, the maximin construction demonstrates that they can be found in any smooth
asymptotically locally AdS spacetime without horizons or with only Kasner-like singu-
larities. In this work, we introduce restricted maximin surfaces anchored to a particular
boundary Cauchy slice C
∂
. We show that the result agrees with the original unrestricted
maximin prescription when the restricted maximin surface lies in a smooth region of space-
time. We then use this construction to extend the existence theorem for HRT surfaces to
generic charged or spinning AdS black holes whose mass-inflation singularities are not
Kasner-like. We also discuss related issues in time-independent charged wormholes.
Keywords: AdS-CFT Correspondence, Gauge-gravity correspondence, Black Holes
ArXiv ePrint: 1901.03879
Open Access,
c
The Authors.
Article funded by SCOAP
3
.
https://doi.org/10.1007/JHEP05(2019)127
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