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

Journal Article · Wed Mar 25 00:00:00 EDT 2020 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep03(2020)149· OSTI ID:1801994

Almheiri, Ahmed ^[1]; Mahajan, Raghu ^[2]; Maldacena, Juan ^[3]; Zhao, Ying ^[3]

Inst. for Advanced Study, Princeton, NJ (United States); OSTI
Inst. for Advanced Study, Princeton, NJ (United States); Princeton Univ., NJ (United States). Jadwin Hall
Inst. for Advanced Study, Princeton, NJ (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: Institute for Advanced Study, Princeton, NJ (United States); Princeton Univ., NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0009988; SC0016244

OSTI ID:: 1801994

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 3 Vol. 2020; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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