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arXiv · 1411.2892

Relativistic Bessel Cylinders

J. P. Krisch·E. N. Glass
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Abstract

A set of cylindrical solutions to Einstein's field equations for power law densities is described. The solutions have a Bessel function contribution to the metric. For matter cylinders regular on axis, the first two solutions are the constant density Gott-Hiscock string and a cylinder with a metric Airy function. All members of this family have the Vilenkin limit to their mass per length. Some examples of Bessel shells and Bessel motion are given.

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J. P. Krisch, E. N. Glass. 2014-11-11. Relativistic Bessel Cylinders. https://doi.org/10.1063/1.4898770

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