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Stress-Energy Tensor for the Massless Spin 1/2 Field in Static Black Hole Spacetimes

Eric D. Carlson·William H. Hirsch·Benedikt Obermayer·Paul R. Anderson·Peter B. Groves
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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 non-rotating black holes, corresponding to the Schwarzschild, Reissner-Nordstrom 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-Nordstrom and extreme Reissner-Nordstrom solutions, divergences predicted by the analytic approximations are shown not to exist.

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Eric D. Carlson, William H. Hirsch, Benedikt Obermayer, Paul R. Anderson, Peter B. Groves. 2003-05-16. Stress-Energy Tensor for the Massless Spin 1/2 Field in Static Black Hole Spacetimes. https://doi.org/10.1103/physrevlett.91.051301

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