http://arxiv.org/abs/2109.13961
We calculate the quasi-normal mode complex frequencies of the Kerr-Newman black hole with arbitrary values of spin and charge, for the modes typically dominant during a binary black hole coalescence, $(\ell,m,n) = {(2,2,0), (2,2,1), (3,3,0) }$. Building analytical fits of the black hole spectrum, we construct a template to model the post-merger phase of a binary black hole coalescence in the presence of a remnant $U(1)$ charge. Aside from astrophysical electric charge, our template can accommodate extensions of the Standard Model, such as a dark photon. Applying the model to LIGO-Virgo detections, we find that we are unable to distinguish between the charged and uncharged hypotheses from a purely post-merger analysis of the current events. However, restricting the mass and spin to values compatible with the analysis of the full signal, we obtain a 90th percentile bound $\bar{q} < 0.33$ on the black hole charge-to-mass ratio, for the most favorable case of GW150914. Under similar assumptions, by simulating a typical loud signal observed by the LIGO-Virgo network at its design sensitivity, we assess that this model can provide a robust measurement of the charge-to-mass ratio only for values $\bar{q} \gtrsim 0.5$; here we also assume that the mode amplitudes are similar to the uncharged case in creating our simulated signal. Lower values, down to $\bar{q} \sim 0.3$, could instead be detected when evaluating the consistency of the pre-merger and post-merger emission.
G. Carullo, D. Laghi, N. Johnson-McDaniel, et. al.
Thu, 30 Sep 21
58/82
Comments: 21 pages, 11 figures, 4 tables
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