Relativistic Bessel cylinders
Copyright policy )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 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.
- University of Michigan–Flint United States
- University of Michigan United States
- University of Michigan–Ann Arbor United States
FOS: Physical sciences, Equations of motion in general relativity and gravitational theory, Bessel and Airy functions, cylinder functions, \({}_0F_1\), General Relativity and Quantum Cosmology (gr-qc), General Relativity and Quantum Cosmology
FOS: Physical sciences, Equations of motion in general relativity and gravitational theory, Bessel and Airy functions, cylinder functions, \({}_0F_1\), General Relativity and Quantum Cosmology (gr-qc), General Relativity and Quantum Cosmology
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