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arXiv · 2111.00953

Retesting the no-hair theorem with GW150914

Ke Wang
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Abstract

For a distorted black hole (BH), its ringdown waveform is a superposition of quasi-normal modes (QNMs). In general relativity (GR), the lower order QNM frequencies and damping rates can be well approximated by a polynomial of BH's dimensionless spin and overall scaled by BH's mass. That is to say, we can test the no-hair theorem of BH in GR model-independently by allowing not only an overall fractional deviation (as M. Isi {\it et al.} did) but also a set of fractional deviation for every coefficient. In the paper, we will apply the latter method to retest the no-hair theorem with GW150914 and probe hairs' behaviors if hairs exist. Eventually, we find the data favors GR.

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Ke Wang. 2021-11-01. Retesting the no-hair theorem with GW150914. https://doi.org/10.1140/epjc%2Fs10052-022-10049-x

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