Gravitational collapse of barotropic spherical fluids

Abstract

The gravitational collapse of spherical, barotropic perfect fluids is analyzed here. For the first time, the final state of these systems is studied without resorting to simplifying assumptions - such as self-similarity - using a new approach based on non-linear o.d.e. techniques, and formation of naked singularities is shown to occur for solutions such that the mass function is analytic in a neighborhood of the spacetime singularity.

17 pages, LaTeX2e

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• Generalized Lemaitre-Tolman-Bondi Solutions with Pressure
• Strong curvature naked singularities in spherically symmetric perfect fluid collapse
• Imprints of the Janis-Newman-Winicour spacetime on observations related to shadow and accretion
• Genericity aspects in gravitational collapse to black holes and naked singularities
• Closed Timelike Curves and "Effective" Superluminal Travel with Naked Line Singularities
• Echoes from a singularity
• Einstein-Cartan gravitational collapse of a homogeneous Weyssenhoff fluid
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• Three parameter metrics in the presence of a scalar field in four and higher dimensions
• Gravitational collapse with tachyon field and barotropic fluid
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• Instability of black hole formation under small pressure perturbations
• All black holes in Lemaitre-Tolman-Bondi inhomogeneous dust collapse
• Black hole formation from the gravitational collapse of a non-spherical network of structures
• Presence of anisotropic pressures in Lemaître-Tolman-Bondi cosmological models
• Spherically symmetric perfect fluid in area-radial coordinates
• Conservative limits on the electric charge of Sgr A* in the Reissner-Nordstrom metric
• An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole
• Scattering of massive particles from black holes and naked singularities