Vacuum polarization of massive scalar fields in the spacetime of the electrically charged nonlinear black hole

Details Vacuum polarization of massive scalar fields in the spacetime of the electrically charged nonlinear black hole Vacuum polarization of massive scalar fields in the spacetime of the electrically charged nonlinear black hole

2000-10-26

arxiv.org/abs/gr-qc/0010097v1

Phys.Rev. D63 (2001) 084004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, 10 figures

Scientific paper

10.1103/PhysRevD.63.084004

The approximate renormalized stress-energy tensor of the quantized massive conformally coupled scalar field in the spacetime of electrically charged nonlinear black hole is constructed. It is achieved by functional differentiation of the lowest order of the DeWitt-Schwinger effective action involving coincidence limit of the Hadamard-Minakshisundaram-DeWitt-Seely coefficient $a_{3}.$ The result is compared with the analogous result derived for the Reissner-Nordstr\"om black hole. It is shown that the most important differences occur in the vicinity of the event horizon of the black hole near the extremality limit. The structure of the nonlinear black hole is briefly studied by means of the Lambert functions.

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