Rotating 5D-Kaluza-Klein Space-Times from Invariant Transformations
General Relativity and Quantum Cosmology
2010-11-19 v1
Abstract
Using invariant transformations of the five-dimensional Kaluza-Klein (KK) field equations, we find a series of formulae to derive axial symmetric stationary exact solutions of the KK theory starting from static ones. The procedure presented in this work allows to derive new exact solutions up to very simple integrations. Among other results, we find exact rotating solutions containing magnetic monopoles, dipoles, quadripoles, etc., coupled to scalar and to gravitational multipole fields.
Keywords
Cite
@article{arxiv.gr-qc/0001039,
title = {Rotating 5D-Kaluza-Klein Space-Times from Invariant Transformations},
author = {Tonatiuh Matos and Dario Nuñez and Gabino Estevez and Maribel Rios},
journal= {arXiv preprint arXiv:gr-qc/0001039},
year = {2010}
}
Comments
24 pages, latex, no figures. To appear in Gen. Rel. Grav., 32, (2000), in press