论文标题

装满不完美流体的星星的图案

Pattern for a star filled with imperfect fluid

论文作者

Culetu, Hristu

论文摘要

恒星内猜想了一个带有负压的静态球形对称时空。引力场令人反感,因此避免了中心奇异性。正能量和不完善流体的压力到处都是有限的。对于De Sitter几何形状,该空间的Tolman-Komar能量为负。从恒星表面上的达莫斯 - 以色列连接条件中可以找到恒定的长度$ b $,薄壳的表面张力$σ$的表达,将内部与Schwarzschild的外观分开。研究了Painleve-Gullstrand坐标中的时机和无效的测量学特性。

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 $σ$ 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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