AI 中文总结
该研究在五维爱因斯坦-高斯-博内引力中，利用弦云构造出满足Morris-Thorne判据的规则可穿越虫洞，经分析其无曲率奇点、力学平衡且动力学稳定。
AI 中文摘要
我们在五维爱因斯坦-高斯-博内（Einstein-Gauss-Bonnet, EGB）引力中，给出了由Letelier弦云支撑的精确静态球对称可穿越虫洞解。通过施加flare-out条件以及弦云密度的正性，确定了物理上可容许的参数空间，所得时空被证明是渐近平坦的。对里奇标量、里奇张量平方和Kretschmann标量的分析证实，该几何不存在曲率奇点。有效零能量条件、弱能量条件、强能量条件和主能量条件在喉处要么被满足，要么达到饱和。广义TOV方程表明，该虫洞保持力学平衡。我们进一步通过研究固有径向距离、嵌入图、穿越时间、固有加速度和潮汐加速度来考察其可穿越性，结果显示该解满足Morris-Thorne可穿越虫洞判据。通过零测地线、不稳定光子圆轨道及相应的阴影，探究了该时空的光学性质，揭示了高斯-博内耦合和弦云密度的影响。最后，采用六阶WKB近似方法结合时域演化对标量微扰进行分析，准正则模式谱在考虑的整个参数空间中均呈现负虚频率，表明线性稳定性；WKB、时域和程函结果之间的密切一致性为该分析提供了额外的一致性依据。这些结果表明，五维EGB引力中的高阶曲率效应能够支撑一个由符合物理动机的弦云物质源维持的规则、可穿越且动力学稳定的虫洞。
英文摘要
We present an exact static and spherically symmetric traversable wormhole solution in 5D Einstein-Gauss-Bonnet (EGB) gravity supported by a Letelier cloud of strings. The physically admissible parameter space is determined by imposing the flare-out condition together with the positivity of the string-cloud density, and the resulting spacetime is shown to be asymptotically flat. An analysis of the Ricci scalar, Ricci tensor squared, and Kretschmann scalar confirms that the geometry is free from curvature singularities. The effective null, weak, strong and dominant energy conditions are either satisfied or saturated at the throat. The generalized TOV equation demonstrates that the wormhole remains in mechanical equilibrium. We further investigate its traversability by studying the proper radial distance, embedding diagrams, traversal time, proper acceleration, and tidal accelerations, showing that the solution satisfies the Morris-Thorne criteria for traversable wormholes. The optical properties of the spacetime are explored through null geodesics, unstable photon circular orbits, and the corresponding shadow, revealing the influence of both the Gauss-Bonnet coupling and the string-cloud density. Finally, scalar perturbations are analyzed using the sixth-order WKB approximation method together with time-domain evolution. The quasinormal mode spectra exhibit negative imaginary frequencies throughout the considered parameter space, indicating linear stability, while the close agreement between the WKB, time-domain, and eikonal results provides additional consistency for the analysis. These results demonstrate that higher-curvature effects in 5D EGB gravity can support a regular, traversable and dynamically stable wormhole sustained by a physically motivated string-cloud matter source.
Comments29 pages, 17 figures
