Abstract
The gravitational collapse of a spherical core, in which the fluid component interact with a growing vacuum energy density, filling an homogeneous and isotropic geometry with an arbitrary curvature parameter, is investigated. The complete set of exact solutions for all values of the free parameters are obtained, and the influence of the curvature term on the collapsing time, black hole mass and other physical quantities are also discussed in detail. We show that for the same initial conditions the total black hole mass depends only on the effective matter density parameter (including the vacuum component). It is also shown that the analytical condition to form a black hole, i.e. the formation of an apparent horizon, is not altered by the contribution of the curvature terms, however, the remaining physical quantities are quantitatively modified.
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