Kiyoshi Shiraishi and Takuya Maki 1994 Class. Quantum Grav. 11 1687 doi:10.1088/0264-9381/11/7/009
Vacuum polarization near asymptotically anti-de Sitter black holes in odd dimensions
Kiyoshi Shiraishi
and Takuya Maki
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
- MSC
- Subjects
- Dates
-
Issue 7 (July 1994)
Received 22 December 1993, in final form 18 March 1994
-
Vacuum polarization near asymptotically anti-de Sitter black holes in odd dimensions
Kiyoshi Shiraishi and Takuya Maki 1994 Class. Quantum Grav. 11 1687
-
Multi-black hole solutions in cosmological Einstein-Maxwell-dilaton theory
T Maki and K Shiraishi 1993 Class. Quantum Grav. 10 2171
-
Three-dimensional black holes and solitons in higher-dimensional theories with compactification
Takuya Maki and Kiyoshi Shiraishi 1994 Class. Quantum Grav. 11 2781
-
Low-energy interaction of a cosmic string and an extreme dilatonic black hole
Kiyoshi Shiraishi 1996 Class. Quantum Grav. 13 1655
-
Vacuum polarization around a three-dimensional black hole
Kiyoshi Shiraishi and Takuya Maki 1994 Class. Quantum Grav. 11 695
-
Exact solutions for gravitational collapse with a dilaton field in arbitrary dimensions
Takuya Maki and Kiyoshi Shiraishi 1995 Class. Quantum Grav. 12 159
-
Quantum aspects of self-interacting fields around cosmic strings
K Shiraishi and S Hirenzaki 1992 Class. Quantum Grav. 9 2277
-
Compactification of spacetime in SU(∞) Yang-Mills theory
K Shiraishi 1989 Class. Quantum Grav. 6 2029
-
Motion of test particles around a charged dilatonic black hole
Takuya Maki and Kiyoshi Shiraishi 1994 Class. Quantum Grav. 11 227
-
Hosotani model in closed-string theory
K Shiraishi 1990 Class. Quantum Grav. 7 135
Related review articles
What's this?- Loop quantum cosmology: a status report
- Tunnelling methods and Hawking's radiation: achievements and prospects
- Quantitative approaches to information recovery from black holes