Boulware state and semiclassical thermodynamics of black holes in a cavity

Details Boulware state and semiclassical thermodynamics of black holes in a cavity Boulware state and semiclassical thermodynamics of black holes in a cavity

2003-10-17

arxiv.org/abs/gr-qc/0310090v1

Phys.Rev. D68 (2003) 127502

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages. To appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.68.127502

A black hole, surrounded by a reflecting shell, acts as an effective star-like object with respect to the outer region that leads to vacuum polarization outside, where the quantum fields are in the Boulware state. We find the quantum correction to the Hawking temperature, taking into account this circumstance. It is proportional to the integral of the trace of the total quantum stress-energy tensor over the whole space from the horizon to infinity. For the shell, sufficiently close to the horizon, the leading term comes from the boundary contribution of the Boulware state.

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