Cylindrically symmetric vacuum solutions in higher dimensional Brans-Dicke theory

Abstract

Higher dimensional, static, cylindrically symmetric vacuum solutions with and without a cosmological constant in the Brans-Dicke theory are presented. We show that for a negative cosmological constant and for specific values of the parameters, a particular subclass of these solutions includes higher dimensional topological black hole-type solutions with a flat horizon topology. We briefly extend our discussion to stationary vacuum and Lambda-vacuum solutions. (C) 2010 American Institute of Physics. [doi:10.1063/1.3459939]