The interior solution of axially symmetric, stationary and rigidly rotating dust configurations
General Relativity and Quantum Cosmology
2011-05-13 v1 Astrophysics of Galaxies
Abstract
It is shown that the interior solution of axially symmetric, stationary and rigidly rotating dust configurations is completely determined by the mass density along the axis of rotation. The particularly interesting case of a mass density, which is cylindrical symmetric in the interior of the dust configuration, is presented. Among other things, this proves the non-existence of homogeneous dust configurations.
Keywords
Cite
@article{arxiv.1105.2316,
title = {The interior solution of axially symmetric, stationary and rigidly rotating dust configurations},
author = {Norman Gürlebeck},
journal= {arXiv preprint arXiv:1105.2316},
year = {2011}
}
Comments
minor corrections to the published version, 10 pages