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arXiv 1603.09683gr-qcastro-ph.HE
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测试陀螺仪向旋转可穿越虫洞运动的行为

Behavior of a test gyroscope moving towards a rotating traversable wormhole

Chandrachur Chakraborty, Parthapratim Pradhan

摘要:

的Teo虫洞的测地线结构进行了简要讨论,并推导出一些可观的承诺是使用在检测旋转遍历虫洞间接,如果它确实存在。我们还推导出精确的Lense-Thirring(LT)的进动频率的测试陀螺仪走向旋转遍历Teo虫洞。进动频率在能区上发散,这种行为与能区的几何形状密切相关,并受其支配,类似于克尔时空中的情况。有趣的是,事实证明,这里的LT进动是成反比的角动量($a$)的虫洞沿极和周围的强引力制度,行为对比与$a$的情况下,其他紧凑的对象的直接变化。事实上,如果陀螺在一定范围内以非零角速度运动,也可以避免LT进动在各能区内发散。因此,陀螺仪的自旋进动频率在其整个路径上都是有限的,甚至在其到达虫洞的过程中非常接近喉道。此外,从我们的公式中可以明显看出,这种自旋进动不仅是由于时空的曲率或旋转引起的,而且也是由于自旋在强引力区域中不沿测地线运动时的非零角速度引起的。如果在未来,星际旅行确实成为可能,通过虫洞或至少在其附近,我们的研究结果将被证明是有用的,在确定测试陀螺仪的行为,这是已知的作为一个基本的导航设备。

英文摘要:

The geodesic structure of the Teo wormhole is briefly discussed and some observables are derived that promise to be of use in detecting a rotating traversable wormhole indirectly, if it does exist. We also deduce the exact Lense-Thirring (LT) precession frequency of a test gyroscope moving toward a rotating traversable Teo wormhole. The precession frequency diverges on the ergoregion, a behavior intimately related to and governed by the geometry of the ergoregion, analogous to the situation in a Kerr spacetime. Interestingly, it turns out that here the LT precession is inversely proportional to the angular momentum ($a$) of the wormhole along the pole and around it in the strong gravity regime, a behavior contrasting with its direct variation with $a$ in the case of other compact objects. In fact, divergence of LT precession inside the ergoregion can also be avoided if the gyro moves with a non-zero angular velocity in a certain range. As a result, the spin precession frequency of the gyro can be made finite throughout its whole path, even very close to the throat, during its travel to the wormhole. Furthermore, it is evident from our formulation that this spin precession not only arises due to curvature or rotation of the spacetime but also due to the non-zero angular velocity of the spin when it does not move along a geodesic in the strong gravity regime. If in the future, interstellar travel indeed becomes possible through a wormhole or at least in its vicinity, our results would prove useful in determining the behavior of a test gyroscope which is known to serve as a fundamental navigation device.

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。

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