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The stress-energy tensor for the massless spin 1/2 field is numericallycomputed outside and on the event horizons of both charged and uncharged staticnon-rotating black holes, corresponding to the Schwarzschild,Reissner-Nordstrom and extreme Reissner-Nordstr\"om solutions of Einstein'sequations. The field is assumed to be in a thermal state at the black holetemperature. Comparison is made between the numerical results and previousanalytic approximations for the stress-energy tensor in these spacetimes. Forthe Schwarzschild (charge zero) solution, it is shown that the stress-energydiffers even in sign from the analytic approximation. For theReissner-Nordstrom and extreme Reissner-Nordstrom solutions, divergencespredicted by the analytic approximations are shown not to exist.Comment: 5 pages, 4 figures, additional discussio

physical review letters

Stress-Energy Tensor for a Massless Spin<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:math>Field in Static Black Hole Spacetimes

Stress-Energy Tensor for a Massless Spin1/2Field in Static Black Hole Spacetimes