Fully Electrified Neugebauer Spacetimes
General Relativity and Quantum Cosmology
2009-10-22 v2
Abstract
Generalizing a method presented in an earlier paper, we express the complex potentials E and Phi of all stationary axisymmetric electrovac spacetimes that correspond to axis data of the form E(z,0) = (U-W)/(U+W) , Phi(z,0) = V/(U+W) , where U = z^{2} + U_{1} z + U_{2} , V = V_{1} z + V_{2} , W = W_{1} z + W_{2} , in terms of the complex parameters U_{1}, V_{1}, W_{1}, U_{2}, V_{2} and W_{2}, that are directly associated with the various multipole moments. (Revised to clarify certain subtle points.)
Cite
@article{arxiv.gr-qc/9407027,
title = {Fully Electrified Neugebauer Spacetimes},
author = {Frederick J. Ernst},
journal= {arXiv preprint arXiv:gr-qc/9407027},
year = {2009}
}
Comments
25 pages, REVTEX