We investigate the dissipative dynamics of compact binary systems within the framework of Einstein-Maxwell theory. By evaluating the mass and electric multipole moments of binaries, we compute the combined gravitational and electromagnetic radiation fluxes to the next-to-leading order. Using the flux balance equation, we obtain the evolution of the orbital angular frequency for quasi-circular inspirals. We further analyze the stability of circular orbits in charged black hole binaries and assess how different charge-to-mass ratios affect the inspiral dynamics.
@article{arxiv.2604.10654,
title = {Post-Newtonian dynamics of charged compact binaries},
author = {Zi-Han Zhang and Tan Liu and Shuai Zhang and Zong-Kuan Guo},
journal= {arXiv preprint arXiv:2604.10654},
year = {2026}
}