A static anisotropic relativistic fluid sphere model with regular geometry and finite hydrostatic functions is presented. In the interior of the sphere, the density, radial pressure and tangential pressure are positives, monotonically decreasing with increasing radius and the radial pressure vanishes at the surface of the matter distribution and is joined continuously to the exterior Schwarzschild’s solution at this surface. The speeds of the radial and tangential sound are positive and lower than the speed of light, that is, the causal condition is not violated, and also the behavior of these guarantees that the model is potentially stable. Furthermore, the range of the compactness ratio is characteristic of compact stars and it is shown that the effect of the anisotropy generates that the speed of the radial sound can behave as a function monotonically increasing or monotonically decreasing.

中文翻译：

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超致密恒星的广义各向异性模型

提出了具有规则几何形状和有限静水力函数的静态各向异性相对论流体球模型。在球体内部，密度、径向压力和切向压力均为正值，随着半径的增加单调递减，径向压力在物质分布的表面消失，并在该表面与外部史瓦西解连续连接。径向和切向声速为正且低于光速，即不违反因果条件，这些行为也保证了模型的潜在稳定。此外，