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Vacuum polarization near asymptotically anti-de Sitter black holes in odd dimensions

Kiyoshi Shiraishi-+ and Takuya Maki++

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Recently, Bañados, Teitelboim and Zanelli obtained spherically symmetric black hole solutions in a particular class of Einstein--Lovelock gravity. We derive the propagator in an exact form for a conformal scalar field in the asymptotically anti-de Sitter black hole spacetime so as to study the quantum effects of the scalar fields. We treat the cases in odd dimensions in this paper. We calculate the vacuum expectation value of and show its dependence on the radial coordinate for the five-dimensional case as an example.


PACS

04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics

04.62.+v Quantum fields in curved spacetime

97.60.Lf Black holes

MSC

83C57 Black holes

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 7 (July 1994)

Received 22 December 1993, in final form 18 March 1994



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