Stress-energy tensors for vector fields outside a static black hole

Journal Article · Tue Aug 15 04:00:00 EDT 1989 · Physical Review (Section) D: Particles and Fields; (USA)

DOI:https://doi.org/10.1103/PhysRevD.40.1340· OSTI ID:5667371

Barrios, F A; Vaz, C ^[1]

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1. Department of Physics, University of Cincinnati, Cincinnati, Ohio 45221 (US)

We obtain new, approximate stress-energy tensors to describe gauge fields in the neighborhood of a Schwarzschild black hole. We assume that the coefficient of {del} {sup 2}R in the trace anomaly is correctly given by {zeta}-function regularization. Our approximation differs from that of Page and of Brown and Ottewill and relies upon a new, improved ansatz for the form of the stress-energy tensor in the ultrastatic optical metric of the black hole. The Israel-Hartle-Hawking thermal tensor is constructed to be regular on the horizon and possess the correct asymptotic behavior. Our approximation of Unruh's tensor is likewise constructed to be regular on the future horizon and exhibit a luminosity which agrees with Page's numerically obtained value. Geometric expressions for the approximate tensors are given, and the approximate energy density of the thermal tensor on the horizon is compared with recent numerical estimates.

• OSTI ID: 5667371
• Journal Information: Physical Review (Section) D: Particles and Fields; (USA), Journal Name: Physical Review (Section) D: Particles and Fields; (USA) Vol. 40:4; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
BOUNDARY CONDITIONS
FIELD THEORIES
LUMINOSITY
METRICS
OPTICAL PROPERTIES
PHYSICAL PROPERTIES
QUANTUM FIELD THEORY
RENORMALIZATION
SCHWARZSCHILD RADIUS
SPACE-TIME
TENSORS
VECTOR FIELDS