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Embedded class solutions of an anisotropic object in Rastall gravity
International Journal of Modern Physics A ( IF 1.6 ) Pub Date : 2020-07-29 , DOI: 10.1142/s0217751x20501092
G. Mustafa 1 , Tie-Cheng Xia 1
Affiliation  

In this current work, we explore an anisotropic compact model with radius 9.1 km and mass 2.01 [Formula: see text] in the regime of Karmarkar condition in Rastall theory. To solve the extended field equations for the Rastall framework we have employed the Karmarkar condition. We investigate a comparative discussion to show the physical acceptance of Karmarkar condition in Rastall theory. Our obtained solutions, i.e. metric functions, density function and both the pressure components have well-behaved nature. The energy bounds and the equilibrium stability in the background of modified TOV equation (for Rastall proposal) are also discussed in this study. The parameter [Formula: see text] from [Formula: see text] metric function has some important role in this current model. All the calculated properties have different natures for [Formula: see text] to [Formula: see text]. In this current study we also discuss some physical parameters of this current model to check the validity of the model. In the end, it is concluded that our model is acceptable physically and geometrically.

中文翻译:

Rastall 引力中各向异性物体的嵌入式类解

在目前的工作中,我们探索了 Rastall 理论中 Karmarkar 条件下半径 9.1 km 和质量 2.01 [公式:见正文] 的各向异性紧凑模型。为了求解 Rastall 框架的扩展场方程,我们采用了 Karmarkar 条件。我们调查了一个比较讨论,以显示在 Rastall 理论中对 Karmarkar 条件的物理接受。我们得到的解,即度量函数、密度函数和两个压力分量都具有良好的特性。本研究还讨论了修正 TOV 方程(对于 Rastall 方案)背景下的能量界限和平衡稳定性。[Formula: see text] 度量函数中的参数 [Formula: see text] 在当前模型中具有重要作用。[公式:所有计算的属性具有不同的性质:见文本] 到 [公式:见文本]。在当前的研究中,我们还讨论了当前模型的一些物理参数,以检查模型的有效性。最后得出结论,我们的模型在物理上和几何上都是可以接受的。
更新日期:2020-07-29
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