Vacuum polarization in the Schwarzschild spacetime and dimensional reduction
Loading...
Date
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
A massless scalar field minimally coupled to gravity and propagating in the Schwarzschild spacetime is considered. After dimensional reduction under spherical symmetry the resulting 2D field theory is canonically quantized and the renormalized expectation values $< T_{a b} >$ of the relevant energy-momentum tensor operator are investigated. Asymptotic behaviours and analytical approximations are given for $< T_{a b} >$ in the Boulware, Unruh and Hartle-Hawking states. Special attention is devoted to the black-hole horizon region where the WKB approximation breaks down.
LaTeX (revtex), 13 pages, address and some minor misprints corrected
LaTeX (revtex), 13 pages, address and some minor misprints corrected