Tails and memories: Monsieur Théophile de Donder meets Sir Hermann Bondi

Abstract: The multipolar post-Minkowskian formalism describes the external gravitational field outside sources such as a compact binary merger. In this formalism, the metric is expanded in harmonic gauge, also known as de Donder gauge. In radiation zone, at length scales above the gravitational wave typical wavelength, the metric is best studied in Bondi or Newman-Unti gauge where an infinite set of flux-balance laws describe much physics of interest. In this talk, I will describe how to transfer known results from de Donder gauge to Bondi gauge, first at linear order and then at quadratic order in the post-Minkowskian expansion. I will discuss the tail and memory effects from this point of view, as well the description of recently defined $w(1+\infty)$ charges in terms of canonical multipole moments.

HEP - theorymathematical physics

Audience: researchers in the topic

Physics @ Boundaries Workshop