标题： 一类新的嵌入I类在广义相对论中表示各向异性流体球的解 显示英文标题

标题： A new solution of embedding class I representing anisotropic fluid sphere in general relativity

摘要： 在本文中，我们愿意通过选择一个新的grr度规势来建模各向异性恒星。所有物理参数，如物质密度、径向和横向压力，在各向异性恒星内部都是正常的，声速小于光速。因此，我们得到的新解对现实天体物理致密恒星给出了令人满意的描述。本文的模型与RX J1856-37、Her X-1、Vela X-12和Cen X-3等致密天体的观测数据相容。对Her X-1的一个具体模型（质量为太阳质量的0.98倍，半径=6.7公里）进行了详细研究，发现它满足物理上可接受模型所需的所有条件。我们的模型既进行了分析描述，也借助图形表示进行了说明。 显示英文摘要

摘要： In the present paper we are willing to model anisotropic star by choosing a new grr metric potential. All the physical parameters like the matter density, radial and transverse pressure and are regular inside the anisotropic star, with the speed of sound less than the speed of light. So the new solution obtained by us gives satisfactory description of realistic astrophysical compact stars. The model of the present paper is compatible with observational data of compact objects like RX J1856-37, Her X-1, Vela X-12 and Cen X-3. A particular model of Her X-1 (Mass 0.98 times solar mass and radius=6.7 km.) is studied in detail and found that it satisfies all the condition needed for physically acceptable model. Our model is described analytically as well as with the help of graphical representation.