AI 中文总结
本文研究由共形耦合标量场支撑的可穿越虫洞，分析其几何、光子测地线及标量扰动准正则模，发现四维下与极端黑洞等谱，并给出穿越条件与固有时。
AI 中文摘要
在这项工作中，我们分析了一个由无质量共形耦合标量场生成的双参数 $(\mu, b)$ 非对称可穿越虫洞解族。我们证明，在合适的参数范围内，时空处处正则且具有两个渐近平坦区域。然后我们定义虫洞喉部并验证喇叭口条件，这导致广义相对论中经典能量条件的违反，从而需要奇异物质来维持喉部张开。我们进一步通过有效势分析由零测地线控制的光子运动。所得轨迹通过数值计算并使用嵌入图进行可视化。沿着这条路线，我们研究由无质量克莱因-戈登方程控制的标量扰动，并半解析和数值地找到准正则模谱。有趣的是，我们表明此类扰动仅由一个参数 $\mu$ 控制。因此，在 $D = 4$ 中，我们发现虫洞与 BBMB/极端 Reissner-Nordström 黑洞之间存在等谱性。本着 Morris 和 Thorne 开创性工作的精神，我们推导了可穿越性条件，并计算了旅行者穿越虫洞所需的固有时。最后，我们讨论了本工作可能的扩展和未来方向。
英文摘要
In this work, we analyze a two-parameter $(μ, b)$ asymmetric family of traversable wormhole solutions generated by a massless conformally coupled scalar field. We show that, for a suitable range of parameters, the spacetime is everywhere regular and has two asymptotically flat regions. We then define the wormhole throat and verify the flare-out condition, which leads to violations of the classical energy conditions in GR, thereby requiring exotic matter to hold the throat open. We further analyze the motion of photons governed by null geodesics through an effective potential. The resulting trajectories are computed numerically and visualized using embedding diagrams. Following this route, we investigate scalar perturbations governed by the massless Klein-Gordon equation and find the QNM spectrum semianalytically and numerically. Interestingly enough, we show that such perturbations are governed by only one parameter $μ$. Therefore, in $D = 4$, we find an isospectrality between the wormhole and the BBMB/Extremal Reissner-Nordström black hole. In the spirit of the seminal work of Morris and Thorne, we derive the conditions for traversability and compute the proper time for a traveler to traverse the wormhole. Finally, we discuss possible extensions and future directions for our work.
Comments34 pages, 7 figures, 11 tables
