Phys. Rev. D 61, 084015 (2000) [7 pages]Massless scalar fields and topological black holesReceived 27 September 1999; published 24 March 2000 The exact static solutions in the higher dimensional Einstein-Maxwell-Klein-Gordon theory are investigated. With the help of the methods developed for the effective dilaton type gauge gravity models in two dimensions, we find new spherically and hyperbolically symmetric solutions which generalize the four dimensional configurations of Dereli and Eriş. We show that, like in four dimensions, the nontrivial scalar field yields, in general, a naked singularity. The new solutions are compared with the higher dimensional Brans-Dicke black hole type solutions. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.61.084015
DOI:
10.1103/PhysRevD.61.084015
PACS:
04.50.+h, 03.50.Kk, 04.20.Jb
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