Electromagnetic fields in compact binaries: post-Newtonian wave generation and 
application to double white dwarfs systems

Henry, Quentin; Larrouturou, François; Poncin-Lafitte, Christophe Le

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Electromagnetic fields in compact binaries: post-Newtonian wave generation and application to double white dwarfs systems

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Henry, Quentin
Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Henry, Q., Larrouturou, F., & Poncin-Lafitte, C. L. (in preparation). Electromagnetic fields in compact binaries: post-Newtonian wave generation and application to double white dwarfs systems.

Cite as: https://hdl.handle.net/21.11116/0000-000D-CC62-F

Abstract

The aim of this work is twofold: (i) to properly define a wave-generation
formalism for compact-supported sources embedded in Einstein-Maxwell theory,
relying on matched post-Newtonian and multipolar-post-Minkowskian expansions;
(ii) to apply this formalism (which is valid for any type of post-Newtonian
sources) to the case of two stars with constant and aligned magnetic dipoles,
by computing the fluxes of energy and angular momentum to the next-to-leading
order, as well as the gravitational amplitude modes. Assuming eccentric orbits,
we derive the evolution of orbital parameters, as well as the observables of
the system, notably the gravitational phase for quasi-circular orbits. Finally,
we give some numerical estimates for the contribution of the magnetic dipoles
for some realistic systems.