For the n=0, l=m=2 axial ringdown mode, dynamical Chern-Simons gravity lowers the frequency and shortens the damping time, and the paper gives a polynomial fit for these shifts.
Distinguishing general relativity from Chern-Simons gravity using gravitational wave polarizations
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abstract
Quasi-normal modes (QNMs) uniquely characterize the final black-hole. Till now, only the QNM frequency and damping time are used to test General relativity. In this work, we show explicitly that another property of the QNMs --- their polarization --- can be a reliable tool for probing gravity. We provide a consistent test for General relativity by considering Chern-Simons gravity. Distinguishing Chern-Simons gravity from General relativity using only template matching is highly challenging. Thus a parameter that can differentiate between Chern-Simons gravity and GR will be a suitable candidate for any modified theories of gravity. We discuss the implications of our result for the future gravitational wave detectors.
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Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling
For the n=0, l=m=2 axial ringdown mode, dynamical Chern-Simons gravity lowers the frequency and shortens the damping time, and the paper gives a polynomial fit for these shifts.