Gravitational Collapse and Particle Production on FLRW Spherically Symmetric Metric

We discuss the gravitational collapse of a spherically symmetric massive core in which the fluid component is suffering the influence of particle creation due to the temporal evolution of the system's gravity. The influence of the creation rate in the collapsing core is quantified by a phenomenological a-parameter as predicted by dimensional arguments. For all reasonable values of this free parameter, we find that the creation increases the collapsing time, but it cannot prevent the formation of a singular point. The condition for the generation of a black hole is closely related to the creation's rate whose parameter is constrained by α > −1 + 2/[3(1 + ω)], where ω is the barotropic parameter defining the equation of state.