Levi-Civita cylinders with fractional angular deficit
General Relativity and Quantum Cosmology
2011-07-26 v1
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 {\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.
Cite
@article{arxiv.1105.2346,
title = {Levi-Civita cylinders with fractional angular deficit},
author = {J. P. Krisch and E. N. Glass},
journal= {arXiv preprint arXiv:1105.2346},
year = {2011}
}
Comments
5 figures