Levi-Civita cylinders with fractional angular deficit

2011/05/01 by J. P. Krisch, E. N. Glass · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Angular velocity #Classical mechanics #Fractional Differential Equations Solutions #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Dynamics and Pattern Formation #Physics #gr-qc

paper · pdf · doi:10.1063/1.3579130

published in Journal of Mathematical Physics 52(5) (American Institute of Physics) · 5 figures

openalex publication_date 2011/05/01 · arxiv created 2011/05/12 · arxiv updated 2011/07/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• The Static Cylinder, Gyroscopes and the C-Metric
• Stability, causality, and quasinormal modes of cosmic strings and cylinders
• Exact gravitational field of a string
• Fractional Differential Equations