Physical aspects of anisotropic compact stars in gravity with off diagonal tetrad,Chinese Physics C

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Physical aspects of anisotropic compact stars in gravity with off diagonal tetrad
Chinese Physics C ( IF 3.6 ) Pub Date : 2021-07-28 , DOI: 10.1088/1674-1137/ac041a
M. Zubair ₁ , Allah Ditta ₁ , G. Abbas ₂ , Rabia Saleem ₁

Affiliation

This study addresses the formation of anisotropic compact star models in the background of $f(T,{\cal{T}})$ gravity (where T and ${\cal{T}}$ represent the torsion and trace of the energy momentum tensor, respectively). $f(T,{\cal{T}})$ gravity is an extension of the $f(T)$ theory, and it allows a general non-minimal coupling between T and ${\cal{T}}$ . In this setup, we apply Krori and Barua's solution to the static spacetime with the components $\xi=B r^2+c$ and $\Psi=A r^2$ . To develop viable solutions, we select a well-known model $f(T,{\cal{T}})= \alpha T^m+\beta {\cal{T}}+\phi$ (where αand β are coupling parameters, and ϕ indicates the cosmological constant). We adopt the conventional matching of interior and exterior space time to evaluate the unknowns, which are employed in the stellar configuration. We present a comprehensive discussion on the stellar properties to elaborate the anisotropic nature of compact stars corresponding to well-known models: $PSR J1416-2230$ , $4U 1608-52$ , $Cen X-3$ , $EXO 1785-248$ , and $SMC X-1$ . Via physical analysis, it is observed that the solution of compact spheres satisfy the acceptability criteria, and its models behave optimally and depict stability and consistency, in accordance with $f(T,{\cal{T}})$ gravity.

中文翻译：

重力各向异性致密星的物理方面，具有非对角线四分体

这项研究解决了 $f(T,{\cal{T}})$ 重力背景下各向异性致密星模型的形成（其中T和分别 ${\cal{T}}$ 代表扭力和能量动量张量的迹线）。 $f(T,{\cal{T}})$ 引力是该 $f(T)$ 理论的扩展，它允许T和之间的一般非最小耦合 ${\cal{T}}$ 。在此设置中，我们将 Krori 和 Barua 的解决方案应用于具有分量 $\xi=B r^2+c$ 和的静态时空 $\Psi=A r^2$ 。为了开发可行的解决方案，我们选择了一个众所周知的模型 $f(T,{\cal{T}})= \alpha T^m+\beta {\cal{T}}+\phi$ （其中α和β是耦合参数，而ϕ表示宇宙常数）。我们采用内部和外部空间时间的常规匹配来评估未知数，这些未知数用于恒星配置。我们目前对恒星的特性进行全面讨论制定相应知名模特致密星的各向异性性质： $PSR J1416-2230$ ， $4U 1608-52$ ， $Cen X-3$ ， $EXO 1785-248$ ，和 $SMC X-1$ 。通过物理分析，观察到紧密球体的解满足可接受标准，其模型表现最佳，并根据 $f(T,{\cal{T}})$ 重力描述稳定性和一致性。

更新日期：2021-07-28

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