Semiclassical dynamics of Hawking radiation

Journal Article · 15 September 2023 · Classical and Quantum Gravity

DOI: https://doi.org/10.1088/1361-6382/acf26e · OSTI ID:2340783

Lowe, David A.  ^[1]; Thorlacius, Lárus  ^[2]

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1. Brown Univ., Providence, RI (United States); Brown University
2. University of Iceland (Iceland)

Here, we consider gravity in 3+1 spacetime dimensions coupled to N scalar matter fields in a semiclassical limit where $$N\to\infty$$. The dynamical evolution of a black hole including the back-reaction of the Hawking radiation on the metric is formulated as an initial-value problem. The quantum stress-energy tensor is evaluated using a point-splitting regularization along spacelike geodesics. To account for the quantum entanglement of the matter fields, they are treated as a set of bilocal collective fields defined on spacelike hypersurfaces. The resulting semiclassical field equations include terms up to fourth order in derivatives that can be treated in a perturbative $$\hbar$$ expansion. The formulation we arrive at should be amenable to numerical simulation of time-dependent semiclassical spacetime.

• Research Organization: Brown Univ., Providence, RI (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP)
• Grant/Contract Number: SC0010010
• OSTI ID: 2340783
• Journal Information: Classical and Quantum Gravity, Journal Name: Classical and Quantum Gravity Journal Issue: 20 Vol. 40; ISSN 0264-9381
• Publisher: IOP PublishingCopyright Statement
• Country of Publication: United States
• Language: English