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Three-dimensional black holes and solitons in higher-dimensional theories with compactification

Takuya Maki-+ and Kiyoshi Shiraishi++

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Several types of static solutions to Einstein's equations coupled with antisymmetric tensor fields are found in -dimensional spacetime. The solutions describe a product of a three-dimensional radially symmetric spacetime and an internal maximally symmetric manifold. The scale of the internal space may depend on the radial distance from the origin in these solutions.


PACS

04.70.Bw Classical black holes

05.45.Yv Solitons

04.20.Jb Exact solutions

04.50.-h Higher-dimensional gravity and other theories of gravity

MSC

83C57 Black holes

83C15 Exact solutions

83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)

83E15 Kaluza-Klein and other higher-dimensional theories

Subjects

Gravitation and cosmology

Statistical physics and nonlinear systems

Dates

Issue 11 (November 1994)

Received 7 June 1994, in final form 25 July 1994



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