标题： 修正引力中的各向异性星体：扩展的引力解耦方法 显示英文标题

标题： Anisotropic stars in modified gravity: An extended gravitational decoupling approach

摘要： 在本工作中，我们在$f(R,T)$引力框架下研究了引力源的解耦问题。基本上，这里采用了完整的几何变形技术，该技术能够使各向异性天体物理系统精确解的求解过程平滑进行，而无需对变形函数施加任何特定的假设。同时，我们还使用了5维欧几里得时空，以便描述嵌入类I时空以获得可解的球形物理系统。 由此得到的解不仅在物理上具有重要意义，而且为探索新的可能性提供了条件。特别是，从当前的研究可以看出，混合$f(R,T)$和CGD（宇宙学渐近退化）将情景扩展到了纯广义相对论领域之外，从而明确有助于增强致密星体内部天体物理特性的特征。因此，为了检验基于所得解的恒星系统的物理可接受性和稳定性，我们进行了若干物理测试，这些测试满足所有稳定性标准，包括密度和压力的非奇异性。 显示英文摘要

摘要： In the work, we present investigation on decoupling gravitational sources under the framework of $f(R,T)$ gravity. Basically the complete geometric deformation technique has been employed here which facilitates finding exact solutions to the anisotropic astrophysical system smoothly without imposing any particular ansatz for deformation function. Along with this we have also used 5-dimensional Euclidean spacetime in order to describe the embedding Class I spacetime for getting a solvable spherical physical system. The solutions thus obtained show physically interesting as well as viable with new possibilities to sought for. Especially, from the present investigation it is worthy to note that the mixture $f(R,T)$ + CGD translate the scenario beyond the pure GR realm and hence clearly helps to enhance the features of the interior astrophysical aspects of compact stellar objects. Therefore to check the physical acceptability and stability of the stellar system based on the obtained solutions, we have performed a few physical tests which satisfy all the stability criteria, including nonsingular nature of the density as well as pressure.