title: Stress-energy tensor for a massless spin 1/2 field in static black hole spacetimes.
abstract: The stress-energy tensor for the massless spin 1/2 field is numerically computed outside and on the event horizons of both charged and uncharged static nonrotating black holes, corresponding to the Schwarzschild, Reissner-Nordström, and extreme Reissner-Nordström solutions of Einstein's equations. The field is assumed to be in a thermal state at the black hole temperature. Comparison is made between the numerical results and previous analytic approximations for the stress-energy tensor in these spacetimes. For the Schwarzschild (charge zero) solution, it is shown that the stress energy differs even in sign from the analytic approximation. For the Reissner-Nordström and extreme Reissner-Nordström solutions, divergences predicted by the analytic approximations are shown not to exist.
authors.affiliation: Department of Physics, Wake Forest University, Winston-Salem, North Carolina 27109, USA. ecarlson@wfu.edu
authors.forename: Eric D
authors.initials: ED
authors.lastname: Carlson
authors.forename: William H
authors.initials: WH
authors.lastname: Hirsch
authors.forename: Benedikt
authors.initials: B
authors.lastname: Obermayer
authors.forename: Paul R
authors.initials: PR
authors.lastname: Anderson
authors.forename: Peter B
authors.initials: PB
authors.lastname: Groves