Gravitational-wave glitches: resonant islands and frequency jumps in non-integrable extreme-mass-ratio inspirals

TL;DR

This paper investigates how gravitational wave signals from non-integrable extreme-mass-ratio inspirals exhibit sudden frequency jumps due to resonant islands, revealing signatures of chaos and potential deviations from Kerr black hole models.

Contribution

It demonstrates that gravitational waveforms from non-integrable inspirals show characteristic frequency jumps, providing a new way to detect chaos and test spacetime symmetries.

Findings

Waveforms show sudden frequency jumps at resonant islands.

Frequency jumps are a generic feature of non-integrable inspirals.

These signatures can indicate deviations from Kerr black hole spacetime.

Abstract

The detection of gravitational waves from extreme-mass-ratio inspirals with upcoming space-borne detectors will allow for unprecedented tests of general relativity in the strong-field regime. Aside from assessing whether black holes are unequivocally described by the Kerr metric, such detections may place constraints on the degree of spacetime symmetry. In particular, depending on exactly how a hypothetical departure from the Kerr metric manifests, the Carter symmetry, which implies the integrability of the geodesic equations, may be broken. Here, we examine the gravitational waveforms associated with non-integrable extreme-mass-ratio inspirals involving a small-mass companion and a supermassive compact object of general relativity, namely the Manko-Novikov spacetime. We show that the waveforms displays sudden frequency jumps, when the companion transverses resonant islands. These findings demonstrate that such abrupt manifestations in the gravitational-wave frequencies are generic, have a genuine astrophysical origin and function as a distinctive signature of chaotic phenomena in extreme-mass-ratio binaries.