发表机构
Malda College; Durban University of Technology; Tulane University; Dongduk Women’s University（马尔达学院; 德班理工大学; 杜兰大学; 东德女子大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文在高维爱因斯坦引力的芬奇-斯基亚几何中，结合高维爱因斯坦场方程与广义复杂度形式，得到了首批零复杂度高维芬奇-斯基亚致密星精确内解，为高维自引力系统研究提供了可靠框架。
AI 中文摘要
受赫雷拉（Herrera）引力复杂度最近扩展至任意高维时空的启发，我们在$(n+2)$维爱因斯坦引力的芬奇-斯基亚（Finch--Skea）几何中，研究满足零复杂度条件的精确致密星模型。通过将高维爱因斯坦场方程与广义复杂度形式相结合，我们得到了一类描述各向异性流体球的新型精确内解，其复杂度为零。我们通过分析物质变量、压强各向异性及平衡条件的行为，结合正则性、能量条件、因果性和稳定性等标准要求，评估这些模型的物理性质。我们进一步探索时空维度对恒星构型结构特征的影响，证明额外维度的存在会显著改变内部物质分布，同时保持物理可行性。本文给出的解是在这一最新发展的广义复杂度框架内构建的首批精确高维芬奇-斯基亚致密星模型，这些结果为零复杂度恒星构型超出四维广义相对论提供了自然扩展，并为研究高维引力中的自引力系统提供了可靠框架。
英文摘要
Motivated by the recent extension of Herrera's gravitational complexity to arbitrary higher-dimensional spacetimes, we investigate exact compact-star models that satisfy the vanishing-complexity condition within the Finch--Skea geometry in $(n+2)$-dimensional Einstein gravity. By combining the higher-dimensional Einstein field equations with the generalized complexity formalism, we obtain a new class of exact interior solutions describing anisotropic fluid spheres with zero complexity. The physical properties of these models are evaluated by analyzing the behavior of the matter variables, pressure anisotropy, and equilibrium conditions, alongside the standard requirements of regularity, energy conditions, causality, and stability. We further explore the influence of spacetime dimensionality on the structural characteristics of the stellar configurations, demonstrating that the presence of extra dimensions significantly modifies the internal matter distribution while preserving physical viability. The solutions presented here represent the first exact higher-dimensional Finch--Skea compact-star models constructed within this recently developed generalized complexity framework \cite{choudas}. These results provide a natural extension of zero-complexity stellar configurations beyond four-dimensional General Relativity and offer a robust framework for investigating self-gravitating systems in higher- dimensional gravity.
Comments14 pages, 18 figures
