Islands with Gravitating Baths: Towards ER = EPR
| Autor: | Anderson, Louise, Parrikar, Onkar, Soni, Ronak M |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | J. High Energ. Phys. 2021, 226 (2021) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP10(2021)226 |
| Popis: | 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. Comment: 47+14 pages, 16 figures. Comments welcome |
| Databáze: | arXiv |
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