5D Axisymmetric Stationary Solutions as Harmonic Maps

Details 5D Axisymmetric Stationary Solutions as Harmonic Maps 5D Axisymmetric Stationary Solutions as Harmonic Maps

1994-01-10

arxiv.org/abs/gr-qc/9401009v1

J.Math.Phys.35:1302-1321,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, 7 tables, to appear in J. Math. Phys

Scientific paper

10.1063/1.530590

We present the complete scheme of the application of the one-and two dimensional subspace and subgroups method to five-dimensional gravity with a $G_{3}$ group of motion. We do so in the space time and in the potential space formalisms. From this method one obtains the Kramer, Belinsky-Ruffini, Dobiasch-Maison, Cl\'{e}ment, Gross-Perry-Sorkin solutions etc. as special cases.

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