2002/12/23 by Sergey S. Kokarev
Physics and Astronomy · #gr-qc
published as Grav.Cosmol. 4 (1998) 283-286 · Latex 2.09, 6 pages
arxiv created 2002/12/23 · arxiv updated 2009/11/30
A generation procedure, based on the 5-dimensional covariance of the Kaluza-Klein theory, is developed. The procedure allows one to obtain exact solutions of the 4-dimensional Einstein equations with electromagnetic and scalar fields from vacuum 5-dimensional solutions using special 5-dimensional coordinate transformations. Relations between the physical properties of the resulting solutions and invariant geometrical properties of the generating Killing vectors are found out.