We compute the renormalized vacuum polarization for a massless, conformally coupled scalar field on asymptotically anti–de Sitter black hole backgrounds. Mixed (Robin) boundary conditions are applied on the spacetime boundary. We consider black holes with nonspherical event horizon topology as well as spherical event horizons. The quantum scalar field is in the Hartle-Hawking state, and we employ Euclidean methods to calculate the renormalized expectation values. Far from the black hole, we find that the vacuum polarization approaches a finite limit, which is the same for all boundary conditions except Dirichlet boundary conditions.
School of Mathematics and Statistics at the University of Sheffield, Lancaster-Manchester-Sheffield Consortium for Fundamental Physics under STFC Grant No. ST/P000800/1, Physics under STFC Grant No. ST/P000800/1 and partially supported by the H2020-MSCA-RISE-2017 Grant No. FunFiCO-777740, SCOAP
ID Code:
27648
Deposited On:
13 Apr 2023 12:24 by
Peter Taylor
. Last Modified 13 Apr 2023 12:33