具有Casimir-记忆源的可穿越双曲虫洞：复杂性与无壳匹配
Traversable Hyperbolic Wormholes with a Casimir-Memory Source: Complexity and Shell-Free Matching
- Universidade Estadual do Ceará (UECE)（塞阿拉州立大学）
- Emory University（埃默里大学）
- Instituto Federal de Educação Ciências e Tecnologia do Ceará (IFCE)（塞阿拉联邦教育、科学和技术学院）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文利用记忆修正的Casimir源构造双曲虫洞，通过复杂性条件确定几何，实现无薄壳的平滑匹配，并分析能量条件违反。研究揭示了记忆参数对虫洞结构的影响及不同时移分支的统一性。
AI中文摘要：
双曲对称虫洞提供了一个背景，其中负能量密度源于喉部几何，且有限物质构型可以匹配到双曲Schwarzschild真空。我们采用物质优先视角，使用由引力记忆贡献修正的有效Casimir源来构造此类构型，其密度为$\rho(r)=-\alpha/r^4+\eta/r^7$。$r^{-7}$项的动机源于瞬态引力扰动后Casimir真空能量的持续位移，而其提升为径向源的处理是现象学性的。密度决定形状函数，时间几何通过基于复杂性的条件确定。首先施加完全零复杂性条件$Y_{TF}=0$，然后通过单参数变形$Y_{TF}=(p-3)r_0/(2r^3)$放宽该条件。将复杂性因子分解为局域贡献和喉部贡献表明，局域零复杂性出现在$p=\beta'(r_0)$处。在该值处，除了有限$r$导数分支的常数红移解外，第二个时移分支在径向距离上是正则的。我们证明，在有限$r$导数族中，无压力Darmois匹配要求$p<\beta'(r_0)$，从而在整个匹配域内在喉部强制切向零能量条件和强能量条件违反。物质支撑区域中的密度保持为负，这意味着弱能量条件和主导能量条件的违反与时移分支无关。记忆参数修改了外扩域、红移分布和匹配数据，而无压力有限连接允许平滑匹配到双曲Schwarzschild真空，无需薄壳。该构造将记忆修正的Casimir源与统一复杂性框架相结合，其中时间扇区作为同一径向几何的相关分支出现。
英文摘要：
Hyperbolically symmetric wormholes provide a setting in which negative energy densities arise from the throat geometry and finite matter configurations can be matched to the hyperbolic Schwarzschild vacuum. We construct such configurations from a matter-first perspective using an effective Casimir source corrected by a gravitational-memory contribution, $ρ(r)=-α/r^4+η/r^7$. The $r^{-7}$ term is motivated by the persistent shift of the Casimir vacuum energy after a transient gravitational perturbation, while its promotion to a radial source is treated phenomenologically. The density determines the shape function, and the temporal geometry is fixed through complexity-based conditions. Full vanishing complexity, $Y_{TF}=0$, is first imposed and then relaxed through a one-parameter deformation, $Y_{TF}=(p-3)r_0/(2r^3)$. Decomposing the complexity factor into local and throat contributions shows that local vanishing complexity occurs at $p=β'(r_0)$. At this value, besides the constant-redshift solution of the finite-$r$-derivative branch, a second lapse branch is regular in radial distance. We show that pressure-free Darmois matching in the finite-$r$-derivative family requires $p<β'(r_0)$, enforcing tangential null and strong-energy-condition violations at the throat throughout the matching domain. The density remains negative in the matter-supported region, implying weak- and dominant-energy-condition violations independently of the lapse branch. The memory parameter modifies the flare-out domain, redshift profile, and matching data, while finite pressure-free junctions permit smooth matching to the hyperbolic Schwarzschild vacuum without thin shells. The construction combines a memory-corrected Casimir source with a unified complexity framework in which the temporal sectors emerge as related branches of the same radial geometry.
