Gravastars with Dark Energy Evolving to Naked Singularity

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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18 pages and 6 figures. arXiv admin note: substantial text overlap with arXiv:1012.1233 and arXiv:0812.4924v2

Scientific paper

We consider a gravastar model made of anisotropic dark energy with an infinitely thin spherical shell of a perfect fluid with the equation of state $p = (1-\gamma)\sigma$ with an external de Sitter-Schwarzschild region. It is found that in some cases the models represent the "bounded excursion" stable gravastars, where the thin shell is oscillating between two finite radii, while in other cases they collapse until the formation of black holes or naked singularities. An interesting result is that we can have black hole and stable gravastar formation even with an interior and a shell constituted of dark and repulsive dark energy, as also shown in previous work. Besides, in three cases we have a dynamical evolution to a black hole (for $\Lambda=0$) or to a naked singularity (for $\Lambda > 0$). This is the first time in the literature that a naked singularity emerges from a gravastar model.

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