Black-hole hair loss: learning about binary progenitors from ringdown signals

Details Black-hole hair loss: learning about binary progenitors from ringdown signals Black-hole hair loss: learning about binary progenitors from ringdown signals

2011-07-05

arxiv.org/abs/1107.0854v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

24 pages, 9 figures, 4 tables, accepted for publication in Physical Review D

Scientific paper

Perturbed Kerr black holes emit gravitational radiation, which (for the practical purposes of gravitational-wave astronomy) consists of a superposition of damped sinusoids termed quasi-normal modes. The frequencies and time-constants of the modes depend only on the mass and spin of the black hole - a consequence of the no-hair theorem. It has been proposed that a measurement of two or more quasi-normal modes could be used to confirm that the source is a black hole and to test if general relativity continues to hold in ultra-strong gravitational fields. In this paper we propose a practical approach to testing general relativity with quasi-normal modes. We will also argue that the relative amplitudes of the various quasi-normal modes encode important information about the origin of the perturbation that caused them. This helps in inferring the nature of the perturbation from an observation of the emitted quasi-normal modes. In particular, we will show that the relative amplitudes of the different quasi-normal modes emitted in the process of the merger of a pair of nonspinning black holes can be used to measure the component masses of the progenitor binary.

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