Destounis Kyriakos, Suvorov Arthur G, Kokkotas Kostas D
Theoretical Astrophysics, IAAT, University of Tübingen, 72076 Tübingen, Germany.
Phys Rev Lett. 2021 Apr 9;126(14):141102. doi: 10.1103/PhysRevLett.126.141102.
The Kerr geometry admits the Carter symmetry, which ensures that the geodesic equations are integrable. It is shown that gravitational waveforms associated with extreme-mass-ratio inspirals involving a nonintegrable compact object display "glitch" phenomena, where the frequencies of gravitational waves increase abruptly, when the orbit crosses certain spacetime regions known as Birkhoff islands. The presence or absence of these features in data from upcoming space-borne detectors will therefore allow not only for tests of general relativity but also of fundamental spacetime symmetries.
克尔几何存在卡特对称性，这确保了测地线方程是可积的。研究表明，与涉及不可积致密天体的极端质量比吸积相关的引力波波形会出现“毛刺”现象，即当轨道穿过某些被称为伯克霍夫岛的时空区域时，引力波频率会突然增加。因此，即将到来的星载探测器数据中这些特征的有无不仅将允许对广义相对论进行检验，还能对基本时空对称性进行检验。
