Islands with gravitating baths: towards ER = EPR

Anderson, Louise; Parrikar, Onkar; Soni, Ronak M.

doi:10.1007/JHEP10(2021)226

Islands with gravitating baths: towards ER = EPR

Louise Anderson
(
- Stanford U., ITP
)
,
Onkar Parrikar
(
- Stanford U., ITP
)
,
Ronak M. Soni
(
- Stanford U., ITP
)

2020

61 pages

Published in:

JHEP 10 (2021) 226,
JHEP 21 (2020) 226

Published: Oct 28, 2021

e-Print:

2103.14746 [hep-th]

DOI:

10.1007/JHEP10(2021)226

View in:

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Abstract: (Springer)

We study the Page curve and the island rule for black holes evaporating into gravitating baths, with an eye towards establishing a connection with the ER=EPR proposal. We consider several models of two entangled 2d black holes in Jackiw-Teitelboim (JT) gravity with negative cosmological constant. The first, “doubled PSSY,” model is one in which the black holes have end-of-the-world (ETW) branes with a flavour degree of freedom. We study highly entangled states of this flavour degree of freedom and find an entanglement-induced Hawking-Page-like transition from a geometry with two disconnected black holes to one with a pair of black holes connected by a wormhole, thus realising the ER = EPR proposal. The second model is a dynamical one in which the ETW branes do not have internal degrees of freedom but the JT gravity is coupled to a 2d CFT, and we entangle the black holes by coupling the two CFTs at the AdS boundary and evolving for a long time. We study the entanglement entropy between the two black holes and find that the story is substantially similar to that with a non-gravitating thermal bath. In the third model, we couple the two ends of a two-sided eternal black hole and evolve for a long time. Finally, we discuss the possibility of a Hawking-Page-like transition induced by real-time evolution that realises the ER = EPR proposal in this dynamical setting.

Note:

47+14 pages, 16 figures. Comments welcome

2D Gravity
AdS-CFT Correspondence
Black Holes
Gauge-gravity correspondence
field theory: conformal
black hole: pair
gravitation: coupling
entropy: entanglement
cosmological constant: negative
Einstein-Podolsky-Rosen paradox

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