AI 中文总结
该研究在Kalb Ramond引力框架下，结合Einasto暗物质分布构建了满足可穿越条件的洛伦兹对称破缺虫洞模型，分析了其几何、能量及观测特性，明确奇异物质集中于喉部附近。
AI 中文摘要
我们研究了Kalb Ramond引力中的静态球对称可穿越虫洞，其中自发洛伦兹对称破缺源于反对称Kalb Ramond场的非零真空期望值。物质部分采用埃斯塔托（Einasto）暗物质密度分布建模，得到了通过不完全伽马函数表示的解析形状函数。所得几何满足喉部、外 flare（ flare-out）及渐近平直要求，嵌入图为虫洞结构提供了几何可视化。能量密度在整个研究域内保持为正，而径向零能量条件在喉部附近被违反，表明可穿越性所需的奇异物质可局域在受限区域内。内部结构进一步通过复杂度因子表征，该因子在喉部附近最为显著，在更大半径处逐渐衰减至零。我们还通过广义TOV方程和压力各向异性研究了总引力能量、主动引力质量、平均压力及平衡行为；对于恒定红移构型，平衡由静水压与各向异性力的平衡维持。此外，通过光子球、临界 impact 参数、光偏转角和回波时间探索了时空的光学特性。最后，采用体积积分量化器估计零能量条件违反物质的总量，结果显示奇异贡献集中在虫洞喉部附近。分析强调了Kalb Ramond引力参数与Einasto物质分布在塑造所得虫洞构型的几何、能量和观测特性方面的综合作用。
英文摘要
We investigate static, spherically symmetric traversable wormholes in Kalb Ramond gravity, where spontaneous Lorentz symmetry breaking arises from a non-vanishing vacuum expectation value of the antisymmetric Kalb Ramond field. The matter sector is modeled by the Einasto dark matter density profile, yielding an analytical shape function expressed via the incomplete Gamma function. The resulting geometry satisfies the throat, flare-out, and asymptotic-flatness requirements, with embedding diagrams providing a geometric visualization of the wormhole structure. The energy density stays positive throughout the considered domain, while the radial null energy condition is violated near the throat, showing that the exotic matter required for traversability can be localized to a restricted region. The internal structure is further characterized through the complexity factor, which is most pronounced near the throat and gradually decays to zero at larger radii. We also examine the total gravitational energy, active gravitational mass, average pressure, and equilibrium behavior via the generalized TOV equation and pressure anisotropy; for the constant-redshift configuration, equilibrium is maintained by a balance between the hydrostatic and anisotropic forces. The optical properties of the spacetime are further explored through the photon sphere, critical impact parameter, light deflection angle, and echo time. Finally, the volume integral quantifier is used to estimate the total amount of null-energy-condition-violating matter, showing that the exotic contribution remains concentrated near the wormhole throat. The analysis highlights the combined role of the Kalb Ramond gravitational parameter and the Einasto matter distribution in shaping the geometric, energetic, and observational characteristics of the resulting wormhole configurations.
