当前位置: X-MOL 学术Eur. Phys. J. C › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Spinning gyroscope in an acoustic black hole: precession effects and observational aspects
The European Physical Journal C ( IF 4.2 ) Pub Date : 2020-06-02 , DOI: 10.1140/epjc/s10052-020-8060-1
Chandrachur Chakraborty , Parthasarathi Majumdar

The exact precession frequency of a freely-precessing test gyroscope is derived for a \(2+1\) dimensional rotating acoustic black hole analogue spacetime, without making the somewhat unrealistic assumption that the gyroscope is static. We show that, as a consequence, the gyroscope crosses the acoustic ergosphere of the black hole with a finite precession frequency, provided its angular velocity lies within a particular range determined by the stipulation that the Killing vector is timelike over the ergoregion. Specializing to the ‘Draining Sink’ acoustic black hole, the precession frequency is shown to diverge near the acoustic horizon, instead of the vicinity of the ergosphere. In the limit of an infinitesimally small rotation of the acoustic black hole, the gyroscope still precesses with a finite frequency, thus confirming a behaviour analogous to geodetic precession in a physical non-rotating spacetime like a Schwarzschild black hole. Possible experimental approaches to detect acoustic spin precession and measure the consequent precession frequency, are discussed.



中文翻译:

在声学黑洞中旋转陀螺仪:进动效果和观测方面

自由旋进的测试陀螺仪的精确进动频率是针对\(2 + 1 \)维旋转声学黑洞模拟时空而得出的,而没有做出有点不切实际的假设,即陀螺仪是静态的。我们表明,作为一个结果,陀螺仪越过与该黑洞的声能层有限进动频率,通过规定这种杀害矢量是类时在ergoregion确定的特定范围内提供其角速度所在。专门针对“排水槽”声学黑洞,进动频率显示在声学水平附近发散,而不是在整个人体圈附近。在声学黑洞无限微小地旋转的极限中,陀螺仪仍以有限的频率进动,从而确认了类似于物理旋转时空中大地进动的行为,如Schwarzschild黑洞。讨论了可能的实验方法来检测声自旋进动并测量随之而来的进动频率。

更新日期:2020-06-02
down
wechat
bug