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Replica wormholes for an evaporating 2D black hole
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Replica wormholes for an evaporating 2D black hole
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Quantum extremal islands reproduce the unitary Page curve of an evaporating black hole. This has been derived by including replica wormholes in the gravitational path integral, but for the transient, evaporating black holes most relevant to Hawking's paradox, these wormholes have not been analyzed in any detail. In this paper we study replica wormholes for black holes formed by gravitational collapse in Jackiw-Teitelboim gravity, and confirm that they lead to the island rule for the entropy. The main technical challenge is that replica wormholes rely on a Euclidean path integral, while the quantum extremal islands of an evaporating black hole exist only in Lorentzian signature. Furthermore, the Euclidean equations are non-local, so it is unclear how to bridge the gap between the Euclidean path integral and the local, Lorentzian dynamics of an evaporating black hole. We address these issues with Schwinger-Keldysh techniques and show how the non-local equations reduce to the local `boundary particle' description in special cases.
Forward citations
Cited by 5 Pith papers
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Probing Evaporating Black Holes with Modular Flow in SYK
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In JT gravity, the capacity of entanglement detects finite-n structure in the factorized island saddle that the entropy misses at first nontrivial order.
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A rotating regular black hole leaves a remnant because the correction term in the generalized entropy of Hawking radiation vanishes at a finite mass above the extremal limit.
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