The Page curve of Hawking radiation from semiclassical geometry

Almheiri, Ahmed; Mahajan, Raghu; Maldacena, Juan; Zhao, Ying

doi:10.1007/JHEP03(2020)149

The Page curve of Hawking radiation from semiclassical geometry

Aug 28, 2019

21 pages

Published in:

JHEP 03 (2020) 149

Published: Mar 25, 2020

e-Print:

1908.10996 [hep-th]

DOI:

10.1007/JHEP03(2020)149

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Abstract: (Springer)

We consider a gravity theory coupled to matter, where the matter has a higher-dimensional holographic dual. In such a theory, finding quantum extremal surfaces becomes equivalent to finding the RT/HRT surfaces in the higher-dimensional theory. Using this we compute the entropy of Hawking radiation and argue that it follows the Page curve, as suggested by recent computations of the entropy and entanglement wedges for old black holes. The higher-dimensional geometry connects the radiation to the black hole interior in the spirit of ER=EPR. The black hole interior then becomes part of the entanglement wedge of the radiation. Inspired by this, we propose a new rule for computing the entropy of quantum systems entangled with gravitational systems which involves searching for “islands” in determining the entanglement wedge.

Note:

21 pages, 12 figures

2D Gravity
Black Holes
Gauge-gravity correspondence
radiation: Hawking
entropy: quantum
entropy: Hawking
geometry: semiclassical
duality: holography
entanglement
higher-dimensional

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