标题： 完全变形无复杂性各向异性流体球的建模 显示英文标题

标题： Modeling of Completely Deformed Complexity-free Anisotropic Fluid Spheres

摘要： 在本工作中，我们通过遵循在完全几何变形原理下解耦引力场部分的方案，分析了致密各向异性星体结构的形成。 为了实现这一目标，我们使用了可行的星体约束，包括密度类似约束和在星体结构背景下提出的零复杂度因子方案。 我们首先采用适当的度规假设作为初始度规势（种子解）。 施加零复杂度因子约束使我们能够完全捕捉到具有各向异性压力的致密星体分布的引力行为。 然后，完全变形引力场源的过程导致了所需的高度致密星体结构的形成。 我们方法的新颖之处在于实施零复杂度和密度类似技术以推导变形函数。 通过求解得到的控制方程，我们得到了两个与物理可行性测试一致的解。 这些测试表明，受限物体内部的压力各向异性对其稳定性有重大影响。 结论是，种子引力场区域与未知通用场发生器之间的能量传递方向由变形参数描述。 显示英文摘要

摘要： In this work, we analyze the formation of compact, anisotropic stellar configurations by following the scheme of decoupling the gravitational-field sectors within the principles of complete geometric deformation. In pursuit of this aim, we use viable stellar constraints, including density-like constraints and the zero-complexity factor scheme proposed in the context of stellar configurations. We begin with employing an appropriate metric ansatz as the initial metric potential (seed solution). Imposing the zero-complexity factor constraint allows us to fully capture the gravitational behavior of compact stellar distribution featuring anisotropic pressure. Then, the process of completely deforming the gravitational field source leads to the formation of the desired, highly dense stellar configuration. The novelty of our approach is in the implementation of zero-complexity and density-like techniques to derive the deformation functions. By solving the resulting governing equations, we obtain two solutions, which are consistent with the physical viability tests. These tests show that pressure anisotropy within the confined object greatly affects its stability. It is concluded that the direction of energy transfer between the seed-gravitational field region and the unknown generic-field generator is described by the deformation parameter.