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

2019 
Motivated by collapse solutions terminating with naked singularities, a static sphere of incompressible fluid with uniform proper energy density is considered as an example of exact solution in the field of negative point mass in the center. It is a singular counterpart of Schwarzschild's interior solution. The initial condition in the center for barotropic equations of state is established.
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