Parametrized Post-Einsteinian Waveforms in Various Modified Theories of Gravity*

Modified theories of gravity are important from both theoretical and observational point of view. Since most modified theories of gravity reduce to general relativity in the weak-field limit, strong-field tests are required to evaluate their feasibility. Gravitational wave observations can explore dynamical strong-field regime and hence are important in the context of testing modified theories of gravity. For the purpose of analysis, it is more efficient to take a model-independent approach instead of testing each theory against observed data individually. Parametrized post-Einsteinian formalism is one of such model-independent formalisms to test gravity with gravitational wave observations and considers generic non-GR corrections to the gravitational wave amplitude and phase. In this talk, I will present parametrized post-Einsteinian waveforms in various modified theories of gravity. In particular, I present not only phase corrections that were the main focus of previous literature, but also amplitude corrections in various theories for the first time. Using both amplitude and phase corrections, I will present the implications on fundamental pillars in general relativity from existing gravitational wave events like GW150914.