Approximate stress-energy tensor of the massless spin-1/2 field in Schwarzschild spacetime

Details Approximate stress-energy tensor of the massless spin-1/2 field in Schwarzschild spacetime Approximate stress-energy tensor of the massless spin-1/2 field in Schwarzschild spacetime

2004-12-12

arxiv.org/abs/gr-qc/0412056v1

Phys.Rev. D71 (2005) 027504

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1103/PhysRevD.71.027504

The approximate stress-energy tensor of the conformally invariant massless spin-1/2 field in the Hartle-Hawking state in the Schwarzschild spacetime is constructed. It is shown that by solving the conservation equation in conformal space and utilizing the regularity conditions in a physical metric one obtains the stress-energy tensor that is in a good agreement with the numerical calculations. The back reaction of the quantized field upon the spacetime metric is briefly discussed.

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