Cylindrically Symmetric Vacuum Solutions in Higher Dimensional Brans-Dicke Theory

Details Cylindrically Symmetric Vacuum Solutions in Higher Dimensional Brans-Dicke Theory Cylindrically Symmetric Vacuum Solutions in Higher Dimensional Brans-Dicke Theory

2009-10-07

arxiv.org/abs/0910.1342v3

J. Math. Phys. 51, 072505 (2010)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

V3: Published Version

Scientific paper

10.1063/1.3459939

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 include higher dimensional topological black hole-type solutions with a flat horizon topology. We briefly extend our discussion to stationary vacuum and $\Lambda-$vacuum solutions.

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