This work discusses about the existence of compact star model in the context of f(R,T) gravity with R as the Ricci scalar and T as the trace of energy–momentum tensor Tμν. The model has been developed by considering the spherically symmetric spacetime consisting of isotropic fluid with f(R,T) = R + 2βT with β be the coupling parameter. The corresponding field equations are solved by choosing the well-known Finch–Skea ansatz [M. R. Finch and J. E. F. Skea, A realistic stellar model based on an ansatz of Duorah and Ray, Class. Quantum Gravity 6(4) (1989) 467–476]. For spacetime continuity, we elaborate the boundary conditions by considering the exterior region as Schwarzschild metric. The unknown constants appearing in the solution are evaluated for the compact star PSR J 1614-2230 for different values of coupling constant. The physical properties of the model, e.g. matter density, pressure, stability, etc. have been discussed both analytically and graphically. This analysis showed that the geometry and matter are compatible with each other as well as the model is in stable equilibrium in the context of f(R,T) modified gravity.

中文翻译：

---

f(R,T) 引力理论中的 Finch-Skea 星模型

本工作讨论了紧致星模型的存在F(R,吨)重力与R作为 Ricci 标量和吨作为能量-动量张量的迹吨μν. 该模型是通过考虑由各向同性流体组成的球对称时空而开发的F(R,吨) = R + 2β吨和β为耦合参数。通过选择著名的 Finch-Skea 求解相应的场方程安萨茨[MR Finch 和 JEF Skea，基于 Duorah 和 Ray 的 ansatz 的现实恒星模型，班级。量子引力 6(4) (1989) 467–476]。对于时空连续性，我们通过将外部区域视为 Schwarzschild 度量来详细说明边界条件。针对不同耦合常数值的致密星 PSR J 1614-2230 评估解中出现的未知常数。模型的物理特性，例如物质密度、压力、稳定性等，已经通过分析和图形方式进行了讨论。该分析表明，几何和物质相互兼容，模型处于稳定平衡状态。F(R,吨)修改重力。