The Boulware vacuum RVP and RSET for spherical thin shells are computed analytically near the surface and center, and numerically throughout, showing finite interior effects and rapid exterior convergence to Schwarzschild values in the black-hole limit.
Semiclassical Stability of the Extreme Reissner-Nordstrom Black Hole
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abstract
The stress-energy tensor of a free quantized scalar field is calculated in the extreme Reissner-Nordstr\"{o}m black hole spacetime in the zero temperature vacuum state. The stress-energy appears to be regular on the event horizon, contrary to the suggestion provided by two-dimensional calculations. An analytic calculation on the event horizon for a thermal state shows that if the temperature is nonzero then the stress-energy diverges strongly there.
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gr-qc 1years
2026 1verdicts
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Vacuum polarization and renormalized stress-energy tensor of spherical thin shells
The Boulware vacuum RVP and RSET for spherical thin shells are computed analytically near the surface and center, and numerically throughout, showing finite interior effects and rapid exterior convergence to Schwarzschild values in the black-hole limit.