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Cited by 440

The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.

Vacuum polarization in Schwarzschild spacetime

Candelas, P.·1980·Physical Review D
DOI 10.1103/physrevd.21.2185
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Abstract

The polarization of the vacuum induced by gravitation is studied for massless fields in the region exterior to the horizon of a Schwarzschild black hole. The renormalized value of $〈{\ensuremath{\varphi}}^{2}(x)〉$ is calculated according to the "covariant point-separation scheme" for each of the Boulware, Hartle-Hawking, and Unruh "vacua." The form of the renormalized expectation value of the stress tensor near the horizon and at infinity is discussed for each of these three states. It is found that the Unruh vacuum best approximates the state that would obtain following the gravitational collapse of a massive body in the sense that the expectation values of physical observables are finite, in a freely falling frame, on the future horizon and that this state is empty near infinity apart from an outgoing flux of a blackbody radiation. The response of an Unruh box is examined further in the light of the results obtained for the stress tensor. Finally it is shown by explicit solution of the linearized Einstein equations that the area of the horizon decreases at the rate expected from the flux at infinity.

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Metadata

Authors
Candelas, P.
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
1980-04-15
Volume
21
Issue
8
Pages
2185-2202
ISSN
0556-2821 (ISSN-L)
DOI
10.1103/physrevd.21.2185
OpenAlex
W1987866394
Cited by
440
References
15
FWCI
4.72
Type
journal article
Language
en
Open access
closed

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