Relativistic Disks as Sources of Kerr-Newman Fields
Abstract
If an appropriate region of Kerr-Newman space-time is removed and suitable identifications are made, the resulting space-time can be interpreted as an infinitely thin disk producing the original electromagnetic and gravitational fields. We choose the shape of the regions removed in such a way that radial pressures in the disks vanish. Even the very inner parts such as ergoregions may exist around the disks. The surface energy-momentum tensor of the disks is checked to satisfy the weak and strong energy conditions. To emphasize the reality of these sources two models of the disks are presented: (i) rotating conductive charged rings which are supported against collapse by their internal pressure, (ii) two counter-rotating streams of charged particles moving along circular electro-geodesics. All these disk sources form a three-dimensional parameter space with specific electric charge Q/M, angular momentum a/M and the size of the excluded region being the parameters.
Keywords
Cite
@article{arxiv.gr-qc/9801053,
title = {Relativistic Disks as Sources of Kerr-Newman Fields},
author = {T. Ledvinka and M. Zofka and J. Bicak},
journal= {arXiv preprint arXiv:gr-qc/9801053},
year = {2007}
}
Comments
3 pages, Latex. To appear in Proceedings of MG8 Meeting, Jerusalem, 1997 (World Scientific, Singapore)