Stress-Energy Tensor for the 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 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.

arXiv comment5 pages, 4 figures, additional discussion

References in corpus (5)

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• Semiclassical Extremal Blackholes
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• Method to compute the stress-energy tensor for the massless spin 1/2 field in a general static spherically symmetric spacetime
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