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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1992 Aug 1;89(15):6703–6705. doi: 10.1073/pnas.89.15.6703

Note on the form of the metric for an isolated vortex in general relativity.

C L Pekeris 1, K Frankowski 1
PMCID: PMC49571  PMID: 11607309

Abstract

Calling a metric semidiagonal if it has a single off-diagonal element g t, we show that the stationary interior solution for a cylindrically symmetrical perfect fluid possessing an angular momentum cannot have a semidiagonal metric, unless the motion of the fluid particles is purely rotational around the axis of symmetry. A discussion is given of the relativistic spherical vortex in flat space, with a view of seeking a solution for such an isolated vortex in which gravitation is not neglected.

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Pekeris C. L. A relativistic spherical vortex. Proc Natl Acad Sci U S A. 1976 Mar;73(3):687–691. doi: 10.1073/pnas.73.3.687. [DOI] [PMC free article] [PubMed] [Google Scholar]

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