Binary black hole spectroscopy: a toupee test of GW190814 and GW190412. (arXiv:2008.02248v2 [gr-qc] UPDATED)
<a href="http://arxiv.org/find/gr-qc/1/au:+Capano_C/0/1/0/all/0/1">Collin D. Capano</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Nitz_A/0/1/0/all/0/1">Alexander H. Nitz</a>

Gravitational waves provide a window to probe general relativity (GR) under
extreme conditions. The recent observations of GW190412 and GW190814 are unique
high-mass-ratio mergers that enable the observation of gravitational-wave
harmonics beyond the dominant $ell = m = 2$ mode. Using these events, we
search for physics beyond GR by allowing the source parameters measured from
the sub-dominant harmonics to deviate from that of the dominant mode. All
results are consistent with GR. We constrain the chirp mass as measured by the
$ell = m = 3$ mode to be within $0_{-3}^{+5}%$ of the dominant mode when we
allow both the masses and spins of the sub-dominant modes to deviate. If we
allow only the mass parameters to deviate, we constrain the chirp mass of the
$ell = m = 3$ mode to be within $pm1%$ of the expected value from GR.

Gravitational waves provide a window to probe general relativity (GR) under
extreme conditions. The recent observations of GW190412 and GW190814 are unique
high-mass-ratio mergers that enable the observation of gravitational-wave
harmonics beyond the dominant $ell = m = 2$ mode. Using these events, we
search for physics beyond GR by allowing the source parameters measured from
the sub-dominant harmonics to deviate from that of the dominant mode. All
results are consistent with GR. We constrain the chirp mass as measured by the
$ell = m = 3$ mode to be within $0_{-3}^{+5}%$ of the dominant mode when we
allow both the masses and spins of the sub-dominant modes to deviate. If we
allow only the mass parameters to deviate, we constrain the chirp mass of the
$ell = m = 3$ mode to be within $pm1%$ of the expected value from GR.

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