论文标题
嵌入I类的分析各向异性紧凑型恒星模型
An analytical anisotropic compact stellar model of embedding class I
论文作者
论文摘要
提出了满足Karmarkar嵌入条件的Einstein场方程的一类解决方案，可以描述静态的球形流体构型，并可以用作紧凑型恒星的模型。所考虑的流体具有不等的主应力，即流体是局部各向异性的。已经选择了某些具有物理动机的度量电位的几何形状，并概述了模型的形成。如外部Schwarzschild解决方案所述假定外部时空。内部与边界上的施瓦茨柴尔兹柴尔兹柴尔德时空度量标准的平滑匹配以及边界上径向压力为零的条件导致我们确定模型参数。满足了对物理逼真的恒星所需模型的物理要求和稳定性分析。已经通过探索一些已知紧凑对象的数据来以图形方式研究开发的模型。还研究了显示给定表面密度观察到的脉冲星的最大质量质量的质量（M-R）关系。此外，从溶液中获得的惯性时刻（i）的物理特征是由Bejger-Haensel概念确认的。
A class of solutions of Einstein field equations satisfying Karmarkar embedding condition is presented which could describe static, spherical fluid configurations, and could serve as models for compact stars. The fluid under consideration has unequal principal stresses i.e. fluid is locally anisotropic. A certain physically motivated geometry of metric potential has been chosen and codependency of the metric potentials outlines the formation of the model. The exterior spacetime is assumed as described by the exterior Schwarzschild solution. The smooth matching of the interior to the exterior Schwarzschild spacetime metric across the boundary and the condition that radial pressure is zero across the boundary lead us to determine the model parameters. Physical requirements and stability analysis of the model demanded for a physically realistic star are satisfied. The developed model has been investigated graphically by exploring data from some of the known compact objects. The mass-radius (M-R) relationship that shows the maximum mass admissible for observed pulsars for a given surface density has also been investigated. Moreover, the physical profile of the moment of inertia (I) thus obtained from the solutions is confirmed by the Bejger-Haensel concept.
