发表机构
Aix Marseille Univ, Université de Toulon, CNRS, CPT, Marseille, France（艾克斯-马赛大学，土伦大学，法国国家科学研究中心，理论物理中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究提出含Λ的轴对称准球形塞凯赖什I类解作为本地宇宙模型，通过数值积分萨克斯光学方程等方法，验证其协变宇宙学参数符合观测约束，建立了该相对论解与牛顿对应物的联系。
AI 中文摘要
标准线性微扰的弗里德曼-勒梅特-罗伯逊-沃尔克（FLRW）框架能精确描述大尺度宇宙，但无法完全刻画表征本地宇宙的非线性不均匀性。本研究探究爱因斯坦场方程的一个精确不均匀解是否能更真实地描述近邻宇宙环境。为此，我们采用含宇宙学常数Λ的准球形塞凯赖什（Szekeres）I类解，并聚焦其轴对称子类，该选择受近期观测结果驱动——观测显示本地宇宙的膨胀率呈轴对称特征。我们通过数值积分萨克斯光学方程确定光的传播，从而得到光度距离及其随红移的演化；进一步计算协变宇宙学参数的多极矩，并将该形式体系应用于代表本地物质分布的吸引子-排斥子构型。我们发现，所得协变宇宙学参数与当前观测约束一致。最后，我们推导由塞凯赖什密度分布产生的引力势和本动速度场，建立精确相对论解与其牛顿对应物之间的联系。
英文摘要
The standard linearly perturbed Friedmann-Lemaître-Robertson-Walker (FLRW) framework provides an accurate description of the Universe on large scales but cannot fully capture the non-linear inhomogeneities that characterize the local Universe. In this work, we investigate whether an exact inhomogeneous solution of the Einstein field equations can provide a more realistic description of the nearby cosmic environment. To this end, we employ the quasi-spherical Szekeres class I solution with $Λ$ and focus on its axisymmetric subclass, motivated by recent observations indicating an axisymmetric expansion rate of the local Universe. We determine light propagation by numerically integrating the Sachs optical equations, thereby obtaining the luminosity distance and its evolution with redshift. We further compute the multipoles of the covariant cosmographic parameters and apply the formalism to an attractor-repeller configuration representative of the local matter distribution. We find that the resulting covariant cosmographic parameters are consistent with current observational constraints. Finally, we derive the gravitational potential and peculiar velocity field generated by the Szekeres density distribution, establishing the connection between the exact relativistic solution and its Newtonian counterparts.
Comments27 pages, 9 figures
