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arXiv 2408.00259gr-qc
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$f(\mathbb{R},\mathbb{T})$ 理论中解耦各向异性 Buchdahl 相对论模型

Decoupled Anisotropic Buchdahl's Relativistic Models in $f(\mathbb{R},\mathbb{T})$ Theory

Tayyab Naseer, M. Sharif

AI总结:

本文在 $f(\mathbb{R},\mathbb{T})$ 理论中通过引力解耦方法构造了三种各向异性 Buchdahl 模型,并利用致密星 LMC X-4 验证了其中两个模型的物理可行性。

摘要:

本文通过 $f(\mathbb{R},\mathbb{T})$ 理论中的引力解耦方法,构造了现有各向同性解的三个不同的各向异性扩展。为此,我们取一个初始充满各向同性流体的静态球体,然后添加一个新的引力源,使系统产生各向异性。场方程现在对应于总物质构型。我们变换径向度规分量,将这些方程分成两组,分别表征各自的母源。第一组中的未知量通过考虑 Buchdahl 各向同性解来确定。另一方面,我们采用与附加引力源相关的不同约束,使第二组方程可解。此外,Buchdahl 解中的常数三元组通过球边界处内部与外部几何之间的匹配条件来计算。利用致密星 LMC X-4 的质量和半径来分析所构建模型的物理相关性。我们得出结论:在所考虑的参数取值下,所得模型 II 和模型 III 与可接受性条件吻合良好。

英文摘要:

This paper constructs three different anisotropic extensions of the existing isotropic solution to the modified field equations through the gravitational decoupling in $f(\mathbb{R},\mathbb{T})$ theory. For this, we take a static sphere that is initially filled with the isotropic fluid and then add a new gravitational source producing anisotropy in the system. The field equations now correspond to the total matter configuration. We transform the radial metric component to split these equations into two sets characterizing their parent sources. The unknowns comprising in the first set are determined by considering the Buchdahl isotropic solution. On the other hand, we employ different constraints related to the additional gravitational source and make the second system solvable. Further, the constant triplet in Buchdahl solution is calculated by means of matching criteria between the interior and exterior geometries at the spherical boundary. The mass and radius of a compact star LMC X-4 are used to analyze the physical relevancy of the developed models. We conclude that our resulting models II and III are in well-agreement with acceptability conditions for the considered values of the parameters.

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。

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