Newtonian and General Relativistic Models of Spherical Shells

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.

13 pages, 5 figures, accepted for publication in MNRAS

References in corpus (2)

• On the Stability of Circular Orbits of Particles Moving around Black Holes Surrounded by Axially Symmetric Structures
• Relativistic Models of Galaxies

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