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arXiv · 0911.4822

Newtonian and General Relativistic Models of Spherical Shells

D. Vogt·P. S. Letelier
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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.

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D. Vogt, P. S. Letelier. 2009-11-25. Newtonian and General Relativistic Models of Spherical Shells. https://doi.org/10.1111/j.1365-2966.2009.15967.x

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