Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2003-05-12
Phys.Rev.Lett. 91 (2003) 051301
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
5 pages, 4 figures, additional discussion
Scientific paper
10.1103/PhysRevLett.91.051301
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-Nordstr\"om 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.
Anderson Paul R.
Carlson Eric D.
Groves Peter B.
Hirsch William H.
Obermayer Benedikt
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