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arXiv · 1105.2346

Levi-Civita cylinders with fractional angular deficit

J. P. Krisch·E. N. Glass
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Abstract

The angular deficit factor in the Levi-Civita vacuum metric has been parametrized using a Riemann-Liouville fractional integral. This introduces a new parameter into the general relativistic cylinder description, the fractional index α. When the fractional index is continued into the negative α region, new behavior is found in the Gott-Hiscock cylinder and in an Israel shell.

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J. P. Krisch, E. N. Glass. 2011-05-12. Levi-Civita cylinders with fractional angular deficit. https://doi.org/10.1063/1.3579130

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