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Anisotropy of the quantum thermal state in Schwarzschild space-time. (English) Zbl 1232.83047

Summary: The renormalized expectation value of the stress-tensor operator in the Boulware vacuum state is calculated for a massless, conformally coupled scalar field in Schwarzschild space-time. It is found that the difference between the expectation values of the stress tensor in the Boulware and Hartle-Hawking vacua is not isotropic, in contrast with the conjecture of Christensen and Fulling. The results are seen to vindicate the approximation scheme of Brown and Ottewill.

MSC:

83C47 Methods of quantum field theory in general relativity and gravitational theory
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