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arXiv · 2004.13010

Pattern for a star filled with imperfect fluid

Hristu Culetu
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Abstract

A static, spherically symmetric spacetime with negative pressures is conjectured inside a star. The gravitational field is repulsive and so a central singularity is avoided. The positive energy density and the pressures of the imperfect fluid are finite everywhere. The Tolman-Komar energy of the space is negative, as for a de Sitter geometry. From the Darmois-Israel junction conditions on the star surface one finds the constant length $b$ from the metric and the expression of the surface tension $\sigma$ of the thin shell separating the interior from the Schwarzschild exterior. Some properties of the timelike and null geodesics in the Painleve-Gullstrand coordinates are investigated.

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Hristu Culetu. 2020-04-25. Pattern for a star filled with imperfect fluid. https://arxiv.org/abs/2004.13010

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