A study of gravitational collapse with decaying of the vacuum energy

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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9 pages, 3 figures

Scientific paper

We study the gravitational collapse of a dust dark matter star in a $\Lambda$-background. We consider two distinct cases: First we do not have a dark matter and dark energy coupling; second, we consider that $\Lambda $ decay in dark particles. The approach adopted assumes a modified matter expansion rate and we have formation of a black hole, since that, we have the formation of an apparent horizon. A brief comparison of the process of the matter condensation using the gravitational collapse approach and the linear scalar perturbation theory is considered.

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