Rotating 5D-Kaluza-Klein Space-Times from Invariant Transformations

Details Rotating 5D-Kaluza-Klein Space-Times from Invariant Transformations Rotating 5D-Kaluza-Klein Space-Times from Invariant Transformations

2000-01-14

arxiv.org/abs/gr-qc/0001039v1

Gen.Rel.Grav.32:1499-1525,2000

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

24 pages, latex, no figures. To appear in Gen. Rel. Grav., 32, (2000), in press

Scientific paper

10.1023/A:1001982001694

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.

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