Quantum stress tensor in Schwarzschild space-time

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes (Astronomy), Field Theory (Physics), Schwarzschild Metric, Space-Time Functions, Stress Tensors, Einstein Equations, Quantum Theory

Scientific paper

The vacuum expectation value (VEV) of the stress-energy tensor is determined for a conformal scalar field in the region external to the horizon of a Hartle-Hawking state in Schwarzschild space-time. The VEV expression derived is found to consist of the sum of one term which is identical with the WKB-type VEV approximation of Page (1982) and a small remainder term which is evaluated numerically. The good agreement between the present VEV results and those of Page is shown in graphs, and a correction to the calculation of Fawcett (1983) is suggested.

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