VACUUM ENERGY DENSITY NEAR STATIC DISTORTED BLACK HOLES

Nov, 1985
19 pages
Published in:
  • Phys.Rev.D 33 (1986) 1604
Report number:
  • Print-85-0885 (MEUDON)

Citations per year

198619962006201620244012
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