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New Solutions of Gravitational Collapse in General Relativity and in the Newtonian Limit

Jan Helm

Abstract: We discuss the Oppenheimer-Snyder-Datt (OSD) solution from a new perspective, introduce a completely new formulation of the problem exclusively in external Schwarzschild space-time (ESM) and present a new treatment of the singularities in this new formulation. We also give a new Newtonian approximation of the problem. Furthermore, we present new numerical solutions of the modified OSD-model and of the ball-to-ball-collapse with 4 different numerical methods.
Keywords: General Relativity / Gravitational Collapse / External Schwarzschild Space-Time

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