A class of space-times of non-rigidly rotating dust
General Relativity and Quantum Cosmology
2008-11-26 v1 Astrophysics
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.
Cite
@article{arxiv.gr-qc/0604098,
title = {A class of space-times of non-rigidly rotating dust},
author = {Lukasz Bratek and Joanna Jalocha and Marek Kutschera},
journal= {arXiv preprint arXiv:gr-qc/0604098},
year = {2008}
}