Levi-Civita cylinders with fractional angular deficit

Details Levi-Civita cylinders with fractional angular deficit Levi-Civita cylinders with fractional angular deficit

2011-05-12

arxiv.org/abs/1105.2346v1

J.Math.Phys.52:052503,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 figures

Scientific paper

10.1063/1.3579130

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 {\alpha}. When the fractional index is continued into the negative {\alpha} region, new behavior is found in the Gott-Hiscock cylinder and in an Israel shell.

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