Expansion-Free Evolving Spheres Must Have Inhomogeneous Energy Density Distributions

Abstract

In a recent paper a systematic study on shearing expansion-free spherically symmetric distributions was presented. As a particular case of such systems, the Skripkin model was mentioned, which corresponds to a nondissipative perfect fluid with a constant energy density. Here we show that such a model is inconsistent with junction conditions. It is shown that in general for any nondissipative fluid distribution, the expansion-free condition requires the energy density to be inhomogeneous. As an example we consider the case of dust, which allows for a complete integration.

8 pages, Latex. To appear in Phys. Rev.D. Typos corrected

References in corpus (2)

• Shearing Expansion-free Spherical Anisotropic Fluid Evolution
• Quasi-local variables in spherical symmetry: numerical applications to dark matter and dark energy sources

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