Testing Compact Binary Waveforms Using Memory and Angular Momentum

Accurate modelling of gravitational waves from compact binaries is essential for their detection and parameter estimation. The accuracy is generally measured by comparison to Numerical Relativity (NR). We present supplementary methods to test for consistency with exact General Relativity using balance laws: an infinite tower of supermomentum balance laws and the angular momentum balance law. These methods do not rely on NR and can thus be used all across parameter space. The supermomentum balance law cannot be applied directly, however, since currently the memory effect is not modeled. Instead we use it indirectly to first \emph{infer} the memory and then compare the systematic differences of the inferred memory to their statistical uncertainties. We apply these methods to some recent models and binary black hole events.