Energy--momentum tensor near an evaporating black hole

Journal Article · Sat May 15 04:00:00 EDT 1976 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.13.2720· OSTI ID:7285830

Davies, P C.W.; Fulling, S A; Unruh, W G

We calculate the vacuum expectation value, T/sub ..mu nu../, of the energy--momentum tensor of a massless scalar field in a general two-dimensional spacetime and evaluate it in a two-dimensional model of gravitational collapse. In two dimensions, quantum radiation production is incompatible with a conserved and traceless T/sub ..mu nu../. We therefore resolve an ambiguity in our expression for T/sub ..mu nu../, regularized by a geodesic point-separation procedure, by demanding conservation but allowing a trace. In the collapse model, the results support that picture of black-hole evaporation in which pairs of particles are created outside the horizon (and not entirely in the collapsing matter), one of which carries negative energy into the future horizon of the black hole, while the other contributes to the thermal flux at infinity. (AIP)

• Research Organization: Department of Mathematics, King's College, Strand, WC2R 2LS London, United Kingdom
• OSTI ID: 7285830
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 13:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BLACK HOLES
EVAPORATION
GRAVITATIONAL COLLAPSE
GRAVITATIONAL FIELDS
PHASE TRANSFORMATIONS
SCALAR FIELDS
SPACE-TIME
TWO-DIMENSIONAL CALCULATIONS