Singularities in gravitational collapse with radial pressure

摘要: We analyze spherical dust collapse with non-vanishing radial pressure, II, and vanishing tangential stresses. Considering a barotropic equation of state, II = γρ, we obtain an analytical solution in closed form—which is exact for γ −1, 0, approximate otherwise—near the center symmetry (where curvature singularity forms). study formation, visibility, strength singularities resulting spacetime. find that visible, Tipler strong can develop from generic initial data. Radial pressure alters spectrum possible endstates collapse, increasing parameter space region contains no visible singularities, but cannot by itself prevent formation sufficiently low values energy density. Known results pressureless are recovered 0 limit.