Levi-Civita cylinders with fractional angular deficit
arXiv:1105.2346 · doi:10.1063/1.3579130
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.
arXiv comment5 figures
References in corpus (11)
- Cosmic Strings and Cosmic Superstrings
- On the interpretation of cylindrically symmetric Levi-Civita spacetime for 0<sigma<infinity
- On parameters of the Levi-Civita solution
- Perfect-fluid cylinders and walls - sources for the Levi-Civita space-time
- The Levi-Civita spacetime
- Static fluid cylinders and their fields: global solutions
- Hollow cosmic string: the general-relativistic hollow cylinder
- Gravitational Aharonov-Bohm Effect
- The static cylinder, gyroscopes, the C metric, and all that
- Stability, causality and quasinormal modes of cosmic strings and cylinders
- A rotating cylinder in an asymptotically locally anti-de Sitter background