http://arxiv.org/abs/2201.00937

Using the effective field theory framework for extended objects, we build the effective theory of a binary system made up of the most general compact objects in a theory of gravity as general relativity, which are objects described by their mass, spin, charge and their internal structure, and whose description have been derived using the coset construction. We obtain the leading order post-Newtonian expansion to each of the relevant terms in the action, and show that from construction, our effective theory is suited to this computation without the need of introducing additional spin degrees of freedom. We have matched the coefficients of the theory from the literature, which allows us to show its predictivity by comparing to known post-Newtonian results, with the advantage that all the covariant constraints and building blocks that can be used to build up the tower of higher order invariant operators have been derived. With the derived relativistic spin as a building block, we show that acceleration dependent corrections are in fact encoded in higher order spin couplings, and that any of such corrections can be rewritten in terms of the spatial spin components using the spin constraint. By including the operators corresponding to the electromagnetic charge, we derive the complete one post-Newtonian correction to the interacting charged point particles, and bring new results on the polarizability and dissipation of charged spinning compact objects.

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I. Martínez
Wed, 5 Jan 22
54/54

Comments: 26 pages