Static fluid cylinders and their fields: global solutions
General Relativity and Quantum Cosmology
2009-11-10 v1
Abstract
The global properties of static perfect-fluid cylinders and their external Levi-Civita fields are studied both analytically and numerically. The existence and uniqueness of global solutions is demonstrated for a fairly general equation of state of the fluid. In the case of a fluid admitting a non-vanishing density for zero pressure, it is shown that the cylinder's radius has to be finite. For incompressible fluid, the field equations are solved analytically for nearly Newtonian cylinders and numerically in fully relativistic situations. Various physical quantities such as proper and circumferential radii, external conicity parameter and masses per unit proper/coordinate length are exhibited graphically.
Keywords
Cite
@article{arxiv.gr-qc/0403012,
title = {Static fluid cylinders and their fields: global solutions},
author = {J. Bicak and T. Ledvinka and B. G. Schmidt and M. Zofka},
journal= {arXiv preprint arXiv:gr-qc/0403012},
year = {2009}
}