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A class of space-times of non-rigidly rotating dust

Lukasz Bratek·Joanna Jalocha·Marek Kutschera
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Abstract

We find a class of exact solutions of differentially rotating dust in the framework of General Relativity. There exist asymptotically flat space-times of the flow with positive mass function that for radii sufficiently large is monotonic and tends to zero at infinity. Some of the space-times may have non-vanishing total angular momentum. The flow is essentially different from another exactly solvable flow described by van Stockum line element.

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Lukasz Bratek, Joanna Jalocha, Marek Kutschera. 2006-04-21. A class of space-times of non-rigidly rotating dust. https://arxiv.org/abs/gr-qc/0604098

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