$Λ$主导时代中的空间双曲引力源
Spatially Hyperbolic Gravitating Sources in $Λ$-Dominated Era
AI总结：
本文研究宇宙学常数对静态双曲对称物质构型的影响，扩展Herrera的工作，在$Λ$主导时代得到三族解，并发现负能量密度与Minkowskian核心的形成，为相关量子场景研究提供理论联系。
摘要：
本研究聚焦于宇宙学常数对静态背景下双曲对称物质构型的影响。我们扩展了Herrera \cite{herrera2021hyperbolically}的工作，描述了这种排斥特性对双曲各向异性流体若干现实特征的影响。在描述爱因斯坦-$Λ$运动方程之后，我们详细阐述了相应的质量函数及其守恒定律。在我们的研究中，除了观察到负能量密度外，还注意到在对称轴附近物质内容被迫不进行向内运动，从而形成了Minkowskian核心。在$Λ$主导时代中找到了三族解。第一族解通过将Weyl标量取为零值来计算，而第二族解在双曲致密天体的后续变化中保持零复杂度。然而，最后一个模型在自引力系统内包含刚性流体。这种理论设置表明其与研究若干特定量子场景直接相关，在这些场景中，在$Λ$主导区域可观察到能量密度的负行为。
英文摘要：
This study focuses on the impact of the cosmological constant on hyperbolically symmetric matter configurations in static background. We extend the work of Herrera \cite{herrera2021hyperbolically} and describe the influences of such repulsive character on a few realistic features of hyperbolical anisotropic fluids. After describing Einstein-$Λ$ equations of motion, we elaborated the corresponding mass function along with its conservation laws. In our study, besides observing negative energy density, we notice the formation of Minkowskian core as matter content is compelled itself not to follow inward motion near the axis of symmetry. Three families of solution are found in $Λ$-dominated epoch. First is calculated by keeping zero value to Weyl scalar, while the second solution maintains zero complexity in the subsequent changes of the hyperbolical compact object. However, the last model encompasses stiff fluid within the self-gravitating system. Such type of theoretical setup suggests its direct link to study a few particular quantum scenarios where negative behavior of energy density is noticed at $Λ$ dominated regime.
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