On phenomenological parametrizations for the luminosity distance of gravitational waves

Abstract

The propagation of gravitational waves offers new possibilities for testing the theory of gravity. Amongst these possibilities there is the luminosity distance of gravitational waves, [Formula: see text]. A few phenomenological parametrizations for this property have been proposed in the literature, but their generality is still under study. In this work, we contribute to this study by confronting these parametrizations to the predictions of quadratic and degenerate higher order gravity. Furthermore, we propose a novel parametrization that unifies some of the existing proposals. We expect our findings to be relevant for future constraints on modified gravity based on the properties of standard sirens.