曲率坐标系中与观测数据一致的各向同性致密恒星模型
An isotropic compact stellar model in curvature coordinate system consistent with observational data
摘要：
本文在广义相对论的框架下研究了具有各向同性压力分布的球对称相对论致密体。为了求解爱因斯坦场方程，我们考虑了依赖于参数K的Vaidya-Tikekar型度规势。我们提出了一个考虑K 1的理想流体模型<0 or K>，它以极好的精度代表了SMC X-1，Her X-1，4U 1538-52，SAX J1808.4-3658，LMC X-4，EXO 1785-248和4U 1820 -30等致密星。我们详细地研究了该模型的能量条件、声速、表面红移、绝热指数等物理特性，表明该模型符合实际恒星模型的所有物理要求。利用Tolman-Oppenheimer-Schmidoff方程，我们研究了致密天体的流体静力平衡和稳定性。该模型也满足Harrison-Zeldovich-Novikov稳定性准则。所得结果可用于分析其它各向同性致密物体。
英文摘要：
This paper investigates a spherically symmetric compact relativistic body with isotropic pressure profiles within the framework of general relativity. In order to solve the Einstein's field equations, we have considered the Vaidya-Tikekar type metric potential, which depends upon parameter K. We have presented a perfect fluid model, considering K<0 or K>1, which represent compact stars like SMC X-1, Her X-1, 4U 1538-52, SAX J1808.4-3658, LMC X-4, EXO 1785-248 and 4U1820-30, to an excellent degree of accuracy. We have investigated the physical features such as the energy conditions, velocity of sound, surface redshift, adiabatic index of the model in detail and shown that our model obeys all the physical requirements for a realistic stellar model. Using the Tolman-Oppenheimer-Volkoff equations, we have explored the hydrostatic equilibrium and the stability of the compact objects. This model also fulfils the Harrison-Zeldovich-Novikov stability criterion. The results obtained in this paper can be used in analyzing other isotropic compact objects.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
