5-Dimensional Covariance and Generation of Solutions of Einstein Equations

Details 5-Dimensional Covariance and Generation of Solutions of Einstein Equations 5-Dimensional Covariance and Generation of Solutions of Einstein Equations

2002-12-23

arxiv.org/abs/gr-qc/0212098v1

Grav.Cosmol. 4 (1998) 283-286

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex 2.09, 6 pages

Scientific paper

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.

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