VACUUM ENERGY DENSITY NEAR STATIC DISTORTED BLACK HOLES
Nov, 198519 pages
Published in:
- Phys.Rev.D 33 (1986) 1604
Report number:
- Print-85-0885 (MEUDON)
Citations per year
Abstract: (APS)
We investigate the contribution of massless fields of spins 0, 1/2, and 1 to the vacuum polarization near the event horizon of static Ricci-flat space-times. We do not assume any particular spatial symmetry. Within the Page-Brown ‘‘ansatz’’ we calculate 〈φ2〉ren and 〈Tμν〉ren near static distorted black holes, for both the Hartle-Hawking (‖〉H) and Boulware (‖〉B) vacua. Using Israel’s description of static space-times, we express these quantities in an invariant geometric way. We obtain that 〈φ2〉Hren and 〈Tμν〉Hren near the horizon depend only on the two-dimensional geometry of the horizon surface. We find 〈φ2〉Hren=(1/48π2 )K0, 〈T00〉Hren=(7α+12β )K02-α(2)ΔK0. $K sub 0— is the Gaussian curvature of the horizon, and α and β are numerical coefficients depending on the spin of a field. The term in K0(2) is characteristic of the distortion of the black hole. When the event horizon is not distorted, K0 is a constant and this term disappears.- black hole
- FIELD THEORY: VACUUM STATE
- TENSOR: ENERGY-MOMENTUM
- ENERGY: DENSITY
- FIELD THEORY: MASSLESS
- MASSLESS: FIELD THEORY
- SPINLESS
- SPIN: 1/2
- 1/2: SPIN
- SPIN: 1
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