Gravastars or Black Holes as Consequence of Einstein's Theory of Gravity

Mathematics – Functional Analysis

Scientific paper

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Black Holes, Dark Matter, Difference Equations, Functional Analysis, Galactic Nuclei, Circumnuclear Matter, And Bulges, Dark Energy, Ordinary Differential Equations, Functional Analysis

Scientific paper

Dynamical models of prototype gravastars made of phantom energy are constructed, in which an infinitely thin spherical shell of a perfect fluid with the equation of state p = (1-γ)σ divides the whole spacetime into two regions, the internal region filled with a phantom fluid, and the external 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 anothers cases they collapse until the formation of black holes or normal stars. In the phase space, the region for the ``bounded excursion'' gravastars is very small in comparison to that of black holes, but not empty, as found in our previous papers. Therefore, although the existence of gravastars can not be completely excluded from current analysis, the opposite is not possible either, that is, even if gravastars exist, they do not exclude the existence of black holes.

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