### 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

*Physical Review D*,

*13*(10), 2720-2723. https://doi.org/10.1103/PhysRevD.13.2720

**Energy-momentum tensor near an evaporating black hole.** / Davies, Paul; Fulling, S. A.; Unruh, W. G.

Research output: Contribution to journal › Article

*Physical Review D*, vol. 13, no. 10, pp. 2720-2723. https://doi.org/10.1103/PhysRevD.13.2720

}

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 -