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The merger phase of compact binary coalescences is the strongest gravityregime that can be observed. To test the validity of general relativity (GR) instrong gravitational fields, we propose a gravitational waveform parameterizedfor deviations from GR in the dynamical and nonlinear regime of gravity. Ourfundamental idea is that perturbative modifications to a GR waveform cancapture possible deviations in the merger phase that are difficult to model ina specific theory of gravity. One of notable points is that our waveform isphysically consistent in the sense that the additional radiative losses ofenergy and angular momentum associated with beyond-GR modifications areincluded. Our prescription to ensure physical consistency in the wholecoalescence process is expected to be applicable to any deviation from thestandard model of compact binary coalescence, such as the extended models ofgravity or the environmental effects of compact objects, as long asperturbative modifications are considered. Based on the Fisher analysis and thecompatibility with Einstein-dilaton Gauss-Bonnet waveforms, we show that ourparameterization is a physically-consistent minimal one that captures thedeviations in the nonlinear regime.

Physically consistent gravitational waveform for capturing beyond general relativity effects in the compact object merger phase