Rigidly rotating dust solutions depending upon harmonic functions

Details Rigidly rotating dust solutions depending upon harmonic functions Rigidly rotating dust solutions depending upon harmonic functions

2007-04-11

arxiv.org/abs/0704.1351v2

Class.Quant.Grav.24:2755-2760,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

typos corrected, final version published in Class. Quantum Grav

Scientific paper

10.1088/0264-9381/24/10/018

We write down the relevant field equations for a stationary axially symmetric rigidly rotating dust source in such a way that the general solution depends upon the solution of an elliptic equation and upon harmonic functions. Starting with the dipole Bonnor solution, we built an asymptotically flat solution with two curvature singularities on the rotational axis with diverging mass. Apart from the two point singularities on the axis, the metric is regular everywhere. Finally, we study a non-asymptotically flat solution with NUT charge and a massless ring singularity, but with a well-defined mass-energy expression.

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