  Part 2 of 3 from master's thesis: Modeling Compact Objects with Effective
Field Theory. 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 with
electrodynamics, objects which are described by their mass, spin, charge and
their finite-size structure. We obtain the leading order post-Newtonian
expansion to each of the relevant terms in the effective action that have been
derived using the coset construction, where the covariant building blocks to
build up the tower of invariant operators are derived from symmetry principles.
Having matched the coefficients of the theory from the literature, we show the
predictivity of our theory by obtaining well known post-Newtonian results on
spinning extended objects, as well as on charged objects. Then, we bring new
results on the polarizability and dissipation of charged spinning compact
objects.
