论文标题
各向同性buchdahl的相对论液球$ f（r，\，t）$重力
Isotropic Buchdahl's relativistic fluid sphere within $f(R,\,T)$ gravity
论文作者
论文摘要
该研究的目的是在$ f（r，\，t）$重力理论的背景下研究各向同性紧凑型恒星的新解决方案。我们使用了buchdahl [H.A. Buchdahl，物理。修订版{\ bf 116}（1959）1027]公制电位作为处理$ f（r，\，t）$框架中字段方程的输入。对于耦合参数$χ$的不同值，已证明模型参数的图形表示可以更清楚地绘制分析结果。有趣的是，我们证明，对于$χ= 0 $，可以恢复标准的一般相对（GR）结果。还讨论了我们获得的解决方案与GR结果的比较。为了研究耦合参数$χ$的效果，已经针对耦合参数$χ= 0，\，0.25，0.5，0.5，0.75,1，0.75,1，\，1.25 $的耦合参数的值列出了不同物理变量的数值。我们使用质量$ =（1.04 \ pm 0.09）m _ {\ odot} $的紧凑型星候选LMC X-4;半径$ = 8.301 _ { - 0.2}^{+0.2} $ km。分别用于图形分析。为了确定模型的身体可接受性，我们研究了必要的物理特性，例如能量条件，因果关系，静水平衡和压力密度比等。发现我们的系统满足所有这些标准，表明该模型在物理上是合理的。
The aim of the research is to look into a new solution for isotropic compact stars in the context of the $f(R,\,T)$ theory of gravity. We used the Buchdahl [H.A. Buchdahl, Phys. Rev. {\bf 116} (1959) 1027] metric potentials as input to deal with the field equations in the $f(R,\,T)$ framework. For different values of the coupling parameter $χ$, graphical representation of the model parameters have been shown to canvass the analytical results more clearly. Interestingly, we have proven that for $χ=0$, the standard General Relativity (GR) results can be recovered. A comparison of our obtained solutions with the GR results is also discussed. To study the effect of the coupling parameter $χ$, the numerical values of the different physical variables have been tabulated for the values of the coupling parameter $χ=0,\,0.25,\,0.5,\,0.75,1,\,1.25$. We used the compact stars candidate LMC X-4 with mass$=(1.04 \pm 0.09)M_{\odot}$; Radius $= 8.301_{-0.2}^{+0.2}$ km. respectively, for graphical analysis. To determine the physical acceptability of the model, we looked into the necessary physical properties such as energy conditions, causality, hydrostatic equilibrium, and pressure-density ratio etc. and found that our system satisfies all of these criteria, indicating that the model is physically reasonable.
