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.