Relativistic Bessel cylinders
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 me...
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| Veröffentlicht in: | Journal of mathematical physics 2014-10, Vol.55 (10), p.1 |
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| creator | Krisch, J P Glass, E N |
| description | 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. |
| doi_str_mv | 10.1063/1.4898770 |
| format | Article |
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| identifier | ISSN: 0022-2488 |
| ispartof | Journal of mathematical physics, 2014-10, Vol.55 (10), p.1 |
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| language | eng |
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| source | AIP Journals Complete; Alma/SFX Local Collection |
| subjects | Airy function Bessel functions Cylinders Density Geometry Gravity Mathematical functions Mathematical problems Physics |
| title | Relativistic Bessel cylinders |
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