Existence and Classification of Asymptotic Solutions for Tolman-Oppenheimer-Volkoff Systems [CL]

http://arxiv.org/abs/1809.02281


The Tolman-Oppenheimer-Volkoff (TOV) equations are a partially uncoupled system of nonlinear and non-autonomous ordinary differential equations which describe the structure of isotropic spherically symmetric static fluids. Nonlinearity makes explicit solutions of TOV systems very rare. We show, however, that there are at least a two-parameter table of TOV systems which are asymptotically integrable. The solutions are presented explicitly and classified according to the nature of the matter (ordinary or exotic) and to the existence of cavities and singularities.

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Y. Martins, L. Campos, D. Teixeira, et. al.
Mon, 10 Sep 18
41/58

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