Abstract
We calculate the vacuum expectation value, Tμν, 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 Tμν. We there-fore resolve an ambiguity in our expression for Tμν, 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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2720-2723 |
| Number of pages | 4 |
| Journal | Physical Review D |
| Volume | 13 |
| Issue number | 10 |
| DOIs | |
| State | Published - 1976 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
Cite this
Energy-momentum tensor near an evaporating black hole. / Davies, Paul; Fulling, S. A.; Unruh, W. G.
In: Physical Review D, Vol. 13, No. 10, 1976, p. 2720-2723.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Energy-momentum tensor near an evaporating black hole
AU - Davies, Paul
AU - Fulling, S. A.
AU - Unruh, W. G.
PY - 1976
Y1 - 1976
N2 - We calculate the vacuum expectation value, Tμν, 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 Tμν. We there-fore resolve an ambiguity in our expression for Tμν, 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.
AB - We calculate the vacuum expectation value, Tμν, 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 Tμν. We there-fore resolve an ambiguity in our expression for Tμν, 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.
UR - http://www.scopus.com/inward/record.url?scp=0001604940&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0001604940&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.13.2720
DO - 10.1103/PhysRevD.13.2720
M3 - Article
AN - SCOPUS:0001604940
VL - 13
SP - 2720
EP - 2723
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 10
ER -