Higher harmonic oscillations in gravitational waves emitted during black hole ringdown.Black hole ringdown overtones are the higher-frequency oscillations that follow the main 'chirp' of a black hole merger, when the newly formed black hole settles into a stable state. The ringdown signal consists of a fundamental mode and a series of overtones, each with a specific frequency and damping time. These overtones encode detailed information about the black hole's mass, spin, and the geometry of spacetime near the event horizon.
The theoretical framework for quasinormal modes was developed in the 1970s, but overtones were first observed in gravitational wave data only in 2019, when the LIGO and Virgo collaborations detected them in the signal from GW150914, the first confirmed black hole merger.
When two black holes merge, the resulting black hole is initially distorted and emits gravitational waves as it 'rings' like a bell. The ringdown is described by quasinormal modes, which are solutions to the perturbation equations of the black hole metric. The fundamental mode has the longest damping time, while overtones decay faster but have higher frequencies. Measuring multiple overtones allows for tests of the no-hair theorem, which states that black holes are fully described by their mass, spin, and charge.
Ringdown overtones are used to test general relativity in strong-field regimes, measure black hole parameters with high precision, and probe potential deviations from classical gravity, such as the presence of extra dimensions or quantum corrections.
The detection of overtones in GW150914 was so precise that it confirmed the 'no-hair theorem' to within a few percent, ruling out many alternative gravity theories.



