The interior solution of axially symmetric, stationary

Article

The interior solution of axially symmetric, stationary

Gurlebeck N.

Gen. Relativ. Gravit. 41, 2687-2696 (2009)

Abstract

It is shown that the interior solution of axially symmetric, stationary and
rigidly rotating dust configurations is completely determined by themass 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.

BibTeX

@article{UTF413,
  author        = {Gurlebeck N.},
  title         = {{The interior solution of axially symmetric, stationary}},
  journal       = {Gen. Relativ. Gravit.},
  volume        = {41},
  pages         = {2687-2696},
  year          = {2009},
}