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Anisotropic compact stars model with generalized Bardeen–Hayward mass function
Modern Physics Letters A ( IF 1.5 ) Pub Date : 2021-09-08 , DOI: 10.1142/s021773232150190x
Nayan Sarkar 1, 2 , Susmita Sarkar 1 , Farook Rahaman 1 , Ksh. Newton Singh 1, 3
Affiliation  

A new compact stars nonsingular model is presented with the generalized Bardeen–Hayward mass function. Generalized Bardeen–Hayward described the regular black hole, however, due to its regularity or nonsingular nature we were inspired to construct an anisotropic compact stars model. Along with the ansatz mass function, we coupled it with a linear equation of state (EoS) to find the solutions of field equations. Indeed, the new solutions are physically viable in all physical ground. The energy conditions and Tolman–Oppenheimer–Volkoff (TOV)-equation are well satisfied signifying that the mass distribution is physically possible and at equilibrium. Also, the static stability criterion, the causality condition and Abreu’s stability condition hold good and therefore configurations are physically static stable. The same condition is further supported by the condition that the adiabatic index, which is greater than the Newtonian limit, i.e. Γr(r) > 4/3. It is also noticed that the bag constant Bg is proportional to the surface density in our model.

中文翻译:

具有广义 Bardeen-Hayward 质量函数的各向异性致密恒星模型

利用广义 Bardeen-Hayward 质量函数提出了一种新的致密恒星非奇异模型。广义 Bardeen-Hayward 描述了规则黑洞,然而,由于它的规则性或非奇异性,我们受到启发,构建了一个各向异性致密恒星模型。除了 ansatz 质量函数,我们将它与线性状态方程 (EoS) 结合起来,以找到场方程的解。事实上,新的解决方案在所有物理基础上都是可行的。能量条件和 Tolman-Oppenheimer-Volkoff (TOV) 方程得到了很好的满足,表明质量分布在物理上是可能的并且处于平衡状态。此外,静态稳定性准则、因果关系条件和 Abreu 稳定性条件保持良好,因此配置在物理上是静态稳定的。Γr(r) > 4/3. 还注意到袋常数G与我们模型中的表面密度成正比。
更新日期:2021-09-08
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