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Gravitational Wave Glitches in Chaotic Extreme-Mass-Ratio Inspirals

Kyriakos DestounisTheoretical Astrophysics, IAAT, University of Tübingen, 72076 Tübingen, GermanyArthur G. SuvorovTheoretical Astrophysics, IAAT, University of Tübingen, 72076 Tübingen, GermanyKostas D. KokkotasTheoretical Astrophysics, IAAT, University of Tübingen, 72076 Tübingen, Germany
2021en
ABI

Abstract

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.

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