Abstract
Abstract In this paper we shall consider the potential effect of the magnetic dipole moment of a neutron star (NS) in a binary NS–NS system. We shall derive the Lagrangian of the binary system and show how to find a Multipolar Post Minkowskian (MPM) solution to the linearized Einstein–Maxwell system and the energy flux of the electromagnetic waves; we shall calculate at the higher order the equations of motion and precession. At the end, we will provide calculations proving that the effect of the magnetic moment on the binary system is barely observable.
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