Static fluid cylinders and their fields: global solutions

Article

Static fluid cylinders and their fields: global solutions

Bičák, J.; Ledvinka, T.; Schmidt, B. G; Žofka, M.

Class. Quantum Grav. 21(0), 1583-1608 (2004)

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.

Institute authors

Supported by

GACR 202/02/0735 — Relativistic physics and astrophysics 2002-04
MSM113200004 — Výzkum Země a vesmíru metodami teoretické počítačové a experimentální fyziky

BibTeX

@article{UTF82,
  author        = {Bičák, J. and Ledvinka, T. and Schmidt, B. G and Žofka, M.},
  title         = {{Static fluid cylinders and their fields: global solutions}},
  journal       = {Class. Quantum Grav.},
  volume        = {21},
  number        = {0},
  pages         = {1583-1608},
  year          = {2004},
  eprint        = {gr-qc/0403012},
  archivePrefix = {arXiv},
  url           = {https://iopscience.iop.org/article/10.1088/0264-9381/21/6/019},
}