AI 中文总结
研究高斯-博内引力中卡西米尔可穿越虫洞解，通过特定红移函数选参数满足能量条件，用TOV方程研究稳定性，还研究了虫洞时空中零测地线及类时粒子轨迹。
AI 中文摘要
在这项工作中，我们研究卡西米尔虫洞解，并在爱因斯坦-高斯-博内（EGB）引力框架下研究能量条件的满足情况。首先，我们找到了由卡西米尔能量密度的一般形式支持的可穿越虫洞解。应用特定的红移函数，我们选择了合适的参数，由于高阶曲率项的存在，这些参数在喉部附近满足能量条件。然后，我们考虑非恒定红移函数检查能量条件，对于合适的模型参数选择，我们发现这些条件在无穷远处以及喉部附近都得到满足。我们使用托尔曼-奥本海默-沃尔科夫（TOV）方程研究卡西米尔可穿越虫洞解的稳定性。最后，我们研究了虫洞时空中零测地线以及类时粒子的轨迹。
英文摘要
In this work, we study Casimir wormhole solutions and investigate satisfaction of energy conditions in the framework of Einstein-Gauss-Bonnet (EGB) gravity. We firstly find traversable wormhole solutions supported by a general form for the Casimir energy density. Applying a specific redshift function, we choose suitable parameters that respect the energy conditions in the vicinity of the throat due to the presence of higher order curvature terms. Then, we check the energy conditions considering non-constant redshift function and for suitable choice of model parameters, we find that these conditions are satisfied at infinity as well as in the vicinity of the throat. The stability of the Casimir traversable wormhole solutions are investigated using the Tolman-Oppenheimer-Volkoff (TOV) equation. Finally, we study trajectory of null as well as timelike particles in the wormhole spacetime.
Comments26 pages and 13 figues
Journal refNuclear Physics B, 1029 117555 (2026)
DOI：10.1016/j.nuclphysb.2026.117555
