5D Axisymmetric Stationary Solutions as Harmonic Maps
General Relativity and Quantum Cosmology
2010-11-01 v1
Abstract
We present the complete scheme of the application of the one-and two dimensional subspace and subgroups method to five-dimensional gravity with a 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.
Keywords
Cite
@article{arxiv.gr-qc/9401009,
title = {5D Axisymmetric Stationary Solutions as Harmonic Maps},
author = {Tonatiuh Matos},
journal= {arXiv preprint arXiv:gr-qc/9401009},
year = {2010}
}
Comments
18 pages, 7 tables, to appear in J. Math. Phys