This paper presents a class of exact spherical symmetric solutions of the Einstein equations admitting heat-conducting anisotropic fluid as a collapsing matter. The exterior spacetime is assumed to be the Vaidya metric. This class of solutions is shown to satisfy all the energy conditions throughout the interior of the star, and the luminosity is time independent, radiating uniformly throughout the collapse.

中文翻译：

---

满足Karmarkar条件的辐射塌陷模型

本文提出了爱因斯坦方程的一类精确的球对称解，它允许导热各向异性流体为塌陷物质。假定外部时空为Vaidya度量。此类解决方案显示出可以满足整个恒星内部的所有能量条件，并且光度与时间无关，并在整个坍塌过程中均匀地辐射。