膜世界中的黑弹跳至可穿越虫洞
Braneworld Black Bounce to Transversable Wormhole
AI总结：
本文通过线性变形 Randall-Sundrum 体几何与物质分布，在膜上诱导出正则化的 Simpson-Visser 时空，从而抑制中心奇点并实现可穿越虫洞等构型，同时分析了能量条件与解的稳定性。
摘要：
我们提供了一种将对应于辛普森-维瑟（Simpson-Visser，SV）时空的四维几何嵌入到 Randall-Sundrum 装置中的方法，该 SV 时空能够表示可穿越虫洞、单向虫洞或正则黑洞。为实现这一目标，我们关于一个耦合常数对体几何和体物质分布进行线性变形。这些变形诱导了从五维真空 AdS 态到各向异性物质分布的转变。后者导致膜上诱导几何从奇异 Schwarzschild 时空转变为正则化的 SV 时空。由于膜上没有源或物质场，我们可以断言膜上诱导的 SV 几何源于体中几何变形和物质变形的影响。因此，中心奇点被抑制。我们确定了能量条件被满足或被违反的情形。我们的时空是渐近径向 AdS 的，鉴于不存在会阻止在较大波长扰动下不稳定性的全局 AdS 盒，这一点引人关注。因此，不再适宜声称在 AdS 视界附近非常小的扰动存在不稳定性。于是，我们提出可以通过考察能量动量张量中物质场所导致的声速来分析解的稳定性。
英文摘要：
We provide a way for embedding a 4-dimensional geometry corresponding to the Simpson Visser (SV) spacetime which is capable of representing a traversable wormhole, a one-way wormhole, or a regular black hole into a Randall-Sundrum setup. To achieve this, we linearly deform the bulk geometry and the bulk matter distribution concerning a coupling constant. These deformations induce a transition from a $5D$ vacuum AdS state to an anisotropic matter distribution. The latter results in the induced geometry on the brane transitioning from a singular Schwarzschild spacetime to a regularized SV spacetime. Since there are no sources or matter fields on the brane, we can assert that the induced SV geometry on the brane arises from the influence of geometrical and matter deformations in the bulk. Thus, the central singularity is suppressed. We determine the cases where the energy conditions are either satisfied or violated. Our spacetime is asymptotically radial AdS, which is intriguing given the absence of a global AdS box that would prevent instability under larger wavelength perturbations. Therefore, it is no longer appropriate to claim that instability exists for very small perturbations near the AdS horizon. Thus, we propose that the stability of the solution can be analyzed by examining the speed of sound due to the presence of matter fields in the energy momentum tensor.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
