Post-Newtonian dynamics of charged compact binaries

Zi-Han Zhang; Tan Liu; Shuai Zhang; Zong-Kuan Guo

doi:10.1103/4x8q-2kzm

Post-Newtonian dynamics of charged compact binaries

Zi-Han Zhang ^1,2,*, Tan Liu ^3,4,5,†, Shuai Zhang ^6,‡, and Zong-Kuan Guo^4,5,7,§

¹International Centre for Theoretical Physics Asia-Pacific, University of Chinese Academy of Sciences, 100190 Beijing, China
²Taiji Laboratory for GW Universe, University of Chinese Academy of Sciences, 100049 Beijing, China
³School of Physics and Optoelectronic Engineering, Yangtze University, Jingzhou 434023, China
⁴School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, University of Chinese Academy of Sciences, Hangzhou 310024, China
⁵School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
⁶School of Physical Science and Technology, Lanzhou University, Lanzhou 730000, China
⁷Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China

^*Contact author: zhangzihan242@mails.ucas.ac.cn
^†Contact author: lewton@mail.ustc.edu.cn
^‡Contact author: zhangshuai21@lzu.edu.cn
^§Contact author: guozk@itp.ac.cn

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Phys. Rev. D 114, 044088 – Published 25 August, 2026

DOI: https://doi.org/10.1103/4x8q-2kzm

Abstract

We investigate the dissipative dynamics of charged compact binaries in Einstein-Maxwell theory. By evaluating the mass and electric multipole moments, we compute the gravitational and electromagnetic fluxes through next-to-leading order in the post-Newtonian expansion. Using the flux-balance equations, we derive the evolution of the orbital angular frequency for quasicircular inspirals. We further analyze circular orbit stability in charged black-hole binaries and quantify how the charge-to-mass ratios affect the inspiral dynamics.

Physical Review D

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Post-Newtonian dynamics of charged compact binaries

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