2001/07/16 by Sergio M. C. V. Goncalves, Sérgio M. C. V. Gonçalves, Sanjay Jhingan · 21 citations
Physics and Astronomy · #Barotropic fluid #Black Holes and Theoretical Physics #Circular symmetry #Classical mechanics #Cosmology and Gravitation Theories #Curvature #Differential geometry #Geometry #Gravitational collapse #Gravitational singularity #Mathematical analysis #Mathematical physics #Mechanics #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Singularity #Spacetime #Symmetry (geometry) #gr-qc
paper · pdf · doi:10.1023/a:1015285531320
published in General Relativity and Gravitation 33(12), 2125-2149 (Springer Science+Business Media) · to appear in GRG; LaTeX, 22 pages, 2 eps figures
arxiv created 2001/07/16 · openalex publication_date 2001/12/01 · arxiv updated 2010/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We analyze spherical dust collapse with non-vanishing radial pressure, Π, and vanishing tangential stresses. Considering a barotropic equation of state, Π=γρ, we obtain an analytical solution in closed form---which is exact for γ=-1,0, and approximate otherwise---near the center of symmetry (where the curvature singularity forms). We study the formation, visibility, and curvature strength of singularities in the resulting spacetime. We find that visible, Tipler strong singularities can develop from generic initial data. Radial pressure alters the spectrum of possible endstates for collapse, increasing the parameter space region that contains no visible singularities, but cannot by itself prevent the formation of visible singularities for sufficiently low values of the energy density. Known results from pressureless dust are recovered in the γ=0 limit.