TITLE:
New Solutions of Gravitational Collapse in General Relativity and in the Newtonian Limit
AUTHORS:
Jan Helm
KEYWORDS:
General Relativity, Gravitational Collapse, External Schwarzschild Space-Time
JOURNAL NAME:
Journal of High Energy Physics, Gravitation and Cosmology,
Vol.8 No.2,
April
29,
2022
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.