Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-03-27
Phys. Rev. D79, (2009), 087505
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
8 pages, Latex. To appear in Phys. Rev.D. Typos corrected
Scientific paper
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.
Herrera Luis
Le Denmat Gerard
Santos Nilton O.
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