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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 1

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2026 1

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CONDITIONAL 1

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  • Vacuum polarization and renormalized stress-energy tensor of spherical thin shells gr-qc · 2026-07-08 · conditional · none · ref 67 · internal anchor

    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.