Post-Newtonian dynamics of charged compact binaries
Zi-Han Zhang, Tan Liu, Shuai Zhang, Zong-Kuan Guo

TL;DR
This paper models the combined gravitational and electromagnetic radiation effects on charged binary systems, deriving orbital evolution and stability criteria within Einstein-Maxwell theory.
Contribution
It introduces a detailed next-to-leading order analysis of dissipative dynamics for charged binaries, including stability and charge effects.
Findings
Derived the orbital frequency evolution for charged binaries.
Analyzed stability of circular orbits with varying charge-to-mass ratios.
Quantified electromagnetic contributions to radiation fluxes.
Abstract
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.
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