Nakedly singular counterpart of Schwarzschild's incompressible star. A barotropic continuity condition in the center
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.
- Publication:
-
General Relativity and Gravitation
- Pub Date:
- November 2019
- DOI:
- 10.1007/s10714-019-2628-9
- arXiv:
- arXiv:1906.09140
- Bibcode:
- 2019GReGr..51..142B
- Keywords:
-
- Naked singularities;
- Spherical symmetry;
- Stellar structure;
- Equilibrium states;
- Schwarzschild's interior solution;
- General Relativity and Quantum Cosmology
- E-Print:
- accepted (grg), 10 pages, 1 figure