In this paper, model of gravitational collapse of anisotropic compact stars in a new theory of f(R) gravity has been developed. The author considers the modified gravity model of f(R) = ξR4 to investigate a physically acceptable model of gravitational collapse of anisotropic compact stars. First, the author presents a brief review of the development of field equations of gravitational collapse in f(R) gravity for a particular interior metric for compact stars. Then analytical solutions for various physical quantities of collapsing anisotropic compact stars in ξR4 gravity have been developed. By analyzing plots of various physical parameters and conditions, it is shown that the model is physically acceptable for describing the gravitational collapse of anisotropic compact stars in f(R) = ξR4 gravity.

中文翻译：

---

f(R) = ξR4 引力下致密恒星的引力坍缩

在本文中，各向异性致密星的引力坍缩模型在一个新的理论中F(R)重力已经发展。作者认为修改后的重力模型F(R) = ξR4研究一个物理上可接受的各向异性致密恒星引力坍缩模型。首先，作者简要回顾了引力坍缩场方程的发展过程。F(R)致密恒星的特定内部度量的重力。然后是坍缩各向异性致密星的各种物理量的解析解ξR4重力已经发展。通过对各种物理参数和条件图的分析，表明该模型在物理上可以用于描述各向异性致密星的引力坍缩。F(R) = ξR4重力。