Newtonian and General Relativistic Models of Spherical Shells
General Relativity and Quantum Cosmology
2014-11-20 v1
Abstract
A family of spherical shells with varying thickness is derived by using a simple Newtonian potential-density pair. Then, a particular isotropic form of a metric in spherical coordinates is used to construct a General Relativistic version of the Newtonian family of shells. The matter of these relativistic shells presents equal azimuthal and polar pressures, while the radial pressure is a constant times the tangential pressure. We also make a first study of stability of both the Newtonian and relativistic families of shells.
Keywords
Cite
@article{arxiv.0911.4822,
title = {Newtonian and General Relativistic Models of Spherical Shells},
author = {D. Vogt and P. S. Letelier},
journal= {arXiv preprint arXiv:0911.4822},
year = {2014}
}
Comments
13 pages, 5 figures, accepted for publication in MNRAS