标题： 各向异性 Tolman V 解决方案通过$f(R,T^{2})$引力中的耦合分离方法 显示英文标题

标题： Anisotropic Tolman V Solutions by Decoupling Approach in $f(R,T^{2})$ Gravity

摘要： 本文研究了通过在$f(R,T^{2})$引力框架中采用最小几何变形构建的各向异性静态球体的行为（$T^{2}=T_{\zeta\nu}T^{\zeta\nu}$，$R$是里奇标量，$T_{\zeta\nu}$是能量-动量张量）。我们考虑一个具有两个源的球形设置：种子源和附加源。假设种子源是各向同性的，而新源负责引起各向异性。我们将$g_{rr}$成分进行变形，以将场方程分为两组。第一组对应于各向同性解，第二组包含各向异性源的影响。与各向同性源相关的系统由 Tolman V 解的度规势确定，而第二组的三个解则是根据三种不同的约束条件构建的。所有解的物理可接受性通过应用 PSR J1614-2230 星的半径和质量来检查能量条件。我们还检验了所得解的稳定性、质量、紧凑性和红移。我们得出结论，前两个解仅在耦合参数的小值范围内满足可行性和稳定性标准，而第三个解在其所有可能值下都是稳定的。 显示英文摘要

摘要： This paper investigates the behavior of anisotropic static spheres that are constructed by employing a minimal geometric deformation in the framework of $f(R,T^{2})$ gravity ($T^{2}=T_{\zeta\nu}T^{\zeta\nu}$, $R$ is the Ricci scalar and $T_{\zeta\nu}$ is the energy-momentum tensor). We consider a spherical setup with two sources: seed and additional. It is assumed that the seed source is isotropic whereas the new source is responsible for inducing anisotropy. We deform the $g_{rr}$ component to split the field equations into two sets. The first array corresponds to the isotropic solution whereas the second set contains the effect of the anisotropic source. The system related to isotropic source is determined by the metric potentials of Tolman V solution while three solutions of the second set are constructed corresponding to three different constraints. The physical acceptability of all solutions is checked through energy conditions by employing the radius and mass of PSR J1614-2230 star. We also examine the stability, mass, compactness and redshift of the obtained solutions. We conclude that first two solutions satisfy the viability and stability criteria only for small values of the decoupling parameter while third solution is stable for its all possible values.