Newtonian and General Relativistic Models of Spherical Shells

Details Newtonian and General Relativistic Models of Spherical Shells Newtonian and General Relativistic Models of Spherical Shells

2009-11-25

arxiv.org/abs/0911.4822v1

MNRAS, 402, 1313 (2010)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 5 figures, accepted for publication in MNRAS

Scientific paper

10.1111/j.1365-2966.2009.15967.x

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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