The interior solution of axially symmetric, stationary and rigidly rotating dust configurations

Details The interior solution of axially symmetric, stationary and rigidly rotating dust configurations The interior solution of axially symmetric, stationary and rigidly rotating dust configurations

2011-05-11

arxiv.org/abs/1105.2316v1

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

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

minor corrections to the published version, 10 pages

Scientific paper

10.1007/s10714-009-0796-8

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.

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