Rigidly rotating dust solutions depending upon harmonic functions

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dc.creatorViaggiu, Stefano
dc.date2007-04-11
dc.date2007-05-02
dc.date.accessioned2026-07-07T10:20:17Z
dc.date.available2026-07-07T10:20:17Z
dc.descriptionWe 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.
dc.descriptiontypos corrected, final version published in Class. Quantum Grav
dc.identifierhttps://arxiv.org/abs/0704.1351
dc.identifierhttp://arxiv.org/abs/0704.1351
dc.identifierClass.Quant.Grav.24:2755-2760,2007
dc.identifierdoi:10.1088/0264-9381/24/10/018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174797
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleRigidly rotating dust solutions depending upon harmonic functions
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