论文标题
Vaidya-Tikekar超密集星的各向异性概括
Anisotropic generalization of Vaidya-Tikekar superdense star
论文作者
论文摘要
我们研究具有各向异性物质分布的超密集恒星，具有球形空间性超曲面。我们提出了一种方法，以对Vaidya-Tikekar Supergense Star模型进行各向异性概括。各向异性爱因斯坦田间方程可以通过高几幅功能来求解，以便我们选择重力潜力和各向异性。特定的参数选择使我们能够根据基本功能生成各向异性恒星的模型。同样，各向同性恒星可以在消失各向异性的极限下产生。特别是，我们获得了各向同性且具有特定球体几何形状的Tikekar的众所周知的超密集模型。研究了各向异性对紧凑型恒星物理行为的影响。
We study superdense relativistic stars with anisotropic matter distributions with spheroidal spatial hypersurfaces. We propose a methodology to make an anisotropic generalization of the Vaidya-Tikekar superdense star model. The anisotropic Einstein field equations can be solved in terms of hypergeometric functions for our choice of gravitational potential and anisotropy. Particular parameter choices allow us to generate models of anisotropic stars in terms of elementary functions. Also, isotropic stars can be generated in the limit of vanishing anisotropy. In particular, we obtain the well known superdense models of Tikekar which are isotropic and have specific spheroidal geometries. The impact of anisotropy on the gross physical behaviour of a compact star is studied.
