Averaged Energy Conditions in 4D Evaporating Black Hole Backgrounds

Details Averaged Energy Conditions in 4D Evaporating Black Hole Backgrounds Averaged Energy Conditions in 4D Evaporating Black Hole Backgrounds

1998-06-09

arxiv.org/abs/gr-qc/9806049v1

Phys.Rev. D58 (1998) 064017

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revtex, 13 pages, to appear in Phy. Rev. D

Scientific paper

10.1103/PhysRevD.58.064017

Using Visser's semi-analytical model for the stress-energy tensor corresponding to the conformally coupled massless scalar field in the Unruh vacuum, we examine, by explicitly evaluating the relevant integrals over half-complete geodesics, the averaged weak (AWEC) and averaged null (ANEC) energy conditions along with Ford-Roman quantum inequality-type restrictions on negative energy in the context of four dimensional evaporating black hole backgrounds. We find that in all cases where the averaged energy conditions fail, there exist quantum inequality bounds on the magnitude and duration of negative energy densities.

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