We study the gravitational collapse of a spherically symmetric anisotropic relativistic star within Einstein’s theory of gravity making use of one of our recently developed collapsing stellar models (Das et al. in Astrophys Space Sci 361:99, 2016). The final state of continual gravitational collapse of a massive star under regular initial conditions is analyzed in terms of the formation of black holes. To study the evolution of an anisotropic star undergoing gravitational collapse, it is assumed that the dissipation process happens in the form of radial heat-flux. The interior space-time is described by static metric matched at the boundary with Vaidya metric that describes the exterior to the radiating star. The initial static configuration is described by the relativistic solution obtained by Paul and Deb (Astrophys Space Sci 354:421, 2014). The impact of anisotropy on the dynamical gravitational collapse of a massive star is studied. The relativistic causal heat transport equation of the Maxwell–Cattaneo equation is utilized to show the dependence of anisotropy on the temperature profile of the collapsing system.

我们利用我们最近开发的坍缩恒星模型之一（Das等人在Astrophys Space Sci 361：99，2016），研究了爱因斯坦引力理论中球形对称各向异性相对论恒星的引力坍塌。根据黑洞的形成，分析了在规则的初始条件下大质量恒星连续引力坍塌的最终状态。为了研究各向异性恒星经历引力坍塌的演化过程，假设耗散过程以径向热通量的形式发生。内部时空由边界处与描述辐射恒星外部的Vaidya度量匹配的静态度量来描述。初始静态配置由Paul和Deb获得的相对论解决方案（Astrophys Space Sci 354：421，2014）描述。研究了各向异性对大质量恒星动力引力坍塌的影响。麦克斯韦-卡塔尼奥方程的相对论因果传热方程被用来表明各向异性对崩溃系统温度分布的依赖性。