Landscape of stellar-mass black-hole spectroscopy with third-generation gravitational-wave detectors

Understand

Gravitational-wave black-hole spectroscopy provides a unique opportunity to test the strong-field regime of gravity and the nature of the final object formed in the aftermath of a merger.

• Here we investigate the prospects for black-hole spectroscopy with third-generation gravitational-wave detectors, in particular the Einstein Telescope in different configurations, possibly in combination with Cosmic Explorer.
• Using a state-of-the-art population model for stellar-origin binary black holes informed by LIGO Virgo-KAGRA data, we compute the average number of expected events for precision black-hole spectroscopy using a Fisher-matrix analysis.
• We perform our analysis on the dominant mode (2, 2, 0) and a set of subdominant modes [(3, 3, 0), (2, 1, 0), (4, 4, 0)] using amplitude and phase fits corresponding to the aligned spin configurations.