Stationary Cylindrical Anisotropic Fluid
General Relativity and Quantum Cosmology
2009-11-11 v1
Abstract
We present the whole set of equations with regularity and matching conditions required for the description of physically meaningful stationary cylindrically symmmetric distributions of matter, smoothly matched to Lewis vacuum spacetime. A specific example is given. The electric and magnetic parts of the Weyl tensor are calculated, and it is shown that purely electric solutions are necessarily static. Then, it is shown that no conformally flat stationary cylindrical fluid exits, satisfying regularity and matching conditions.
Keywords
Cite
@article{arxiv.gr-qc/0609068,
title = {Stationary Cylindrical Anisotropic Fluid},
author = {F. Debbasch and L. Herrera and P. R. C. T. Pereira and N. O. Santos},
journal= {arXiv preprint arXiv:gr-qc/0609068},
year = {2009}
}
Comments
17 pages Latex. To appear in Gen.Rel.Grav