嵌入类一各向异性致密星的模拟
Modelling of anisotropic compact stars of emebedding class one
摘要：
本文构造了嵌入类为1的球对称度规的静态各向异性爱因斯坦场方程紧致星模型。通过对度规函数$ν$的特殊形式的假设，我们求解了各向异性物质分布的爱因斯坦场方程。各向异性模型表示真实的紧凑对象，如SAX J 1808.4-3658（SS 1），Her X - 1，Vela X-12，PSR J1614-2230和Cen X - 3。本文详细报道了致密星Her X-1的压力、密度、声速、能量条件、TOV方程和红移等物理性质的结果，并讨论了致密星模型的稳定性。最后，在中心密度、中心压力、致密性和表面红移等关键方面，将我们的各向异性恒星与实际天体进行了比较。
英文摘要：
In the present article, we have constructed static anisotropic compact star models of Einstein field equations for the spherical symmetric metric of embedding class one. By assuming the particular form of metric function $ν$, We have solved the Einstein field equations for anisotropic matter distribution. The anisotropic models are representing the realistic compact objects such as SAX J 1808.4-3658 (SS1), Her X - 1, Vela X-12, PSR J1614-2230 and Cen X - 3. We have reported our results in details for compact star Her X-1 on the ground of physical properties such as pressure, density, velocity of sound, energy conditions, TOV equation and red-shift etc. Along with these, we have also discussed about stability of the compact star models. Finally we made the comparison between our anisotropic stars with the realistic objects on the key aspects as central density, central pressure, compactness and surface red-shift.
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