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arXiv · 1906.09140

Nakedly singular counterpart of Schwarzschild's incompressible star. A barotropic continuity condition in the center

Łukasz Bratek·Joanna Jałocha·Andrzej Woszczyna
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Abstract

A static sphere of incompressible fluid with uniform proper energy density is considered as an example of exact star-like solution with weakened central regularity conditions characteristic of a nakedly singular spherical vaccuum solution. The solution is a singular counterpart of the Schwarzschild's interior solution. The initial condition in the center for general barotropic equations of state is established.

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Łukasz Bratek, Joanna Jałocha, Andrzej Woszczyna. 2019-06-21. Nakedly singular counterpart of Schwarzschild's incompressible star. A barotropic continuity condition in the center. https://doi.org/10.1007/s10714-019-2628-9

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