带电黑洞双星的二阶后牛顿阶辐射
Charged black-hole binary radiation at second post-Newtonian order
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中文总结 AI 辅助
本研究在二阶后牛顿阶下推导带电无自旋双星的电磁与引力辐射，扩展相关方法并得到辐射多极矩等结果，为构建含电荷的引力波波形模型奠定基础。
中文摘要 AI 辅助
本研究基于文献[Phys. Rev. D 112, 124060 (2025)]，该文献已推导出电中性双星系统的二阶后牛顿（2PN）阶动力学，本研究将相同PN精度的分析扩展至其对应的电磁辐射与引力辐射。研究聚焦于沿圆轨道序列准绝热演化的无自旋双星，计算了无穷远处对应总能量通量的2PN表达式。与熟知的电中性双星情况相比，电荷的存在既诱导出一种新的偶极性质的领头阶电磁贡献，也在引力 sector 中引入了额外的电荷依赖修正。为解释这种更丰富的现象学，我们将后牛顿匹配的多极后闵可夫斯基方法和有效场论方法均扩展至带电双星的辐射 sector，两种形式主义独立计算的贡献完全一致。我们推导出矢量场和引力场的辐射对称无迹多极矩，还计算了双星发射波形的球多极矩的2PN精度电荷依赖修正，包括由电磁辐射的应力-能量张量源产生的新记忆贡献。这些结果为开发能够评估引力波信号中电荷观测特征的精确波形模型奠定了基础。
英文摘要
In this work, we build on Ref.~[Phys.~Rev.~D 112, 124060 (2025)], where we derived the dynamics of an electrically charged binary system at second post-Newtonian (2PN) order, by extending the analysis, at the same PN accuracy, to the associated emission of electromagnetic and gravitational radiation. We focus on non-spinning binaries that evolve quasi-adiabatically along a sequence of circular orbits, and compute the 2PN expression for the corresponding total energy flux at infinity. With respect to the well-known case of a neutral binary, the presence of charge induces both a new leading-order electromagnetic contribution of dipolar nature and additional charge-dependent corrections in the gravitational sector. To account for this richer phenomenology, we extend both the PN-matched multipolar post-Minkowskian and the effective field theory approaches to the radiation sector of charged binaries, with exact agreement for the contributions computed independently in both formalisms. We derive the radiative symmetric-trace-free multipole moments of the vector and gravitational fields at 2PN order. In doing so, we also compute 2PN-accurate charge-dependent corrections to the spherical multipoles of the waveform emitted by the binary, including a new memory contribution sourced by the stress-energy tensor of the electromagnetic radiation. These results lay the foundation for developing accurate waveform models capable of assessing the observational signatures of electric charge in gravitational-wave signals.
发表机构
- Università di Perugia（佩鲁贾大学）
- Niels Bohr Institute, Copenhagen University（哥本哈根大学尼尔斯·玻尔研究所）
- Dipartimento di Fisica e Astronomia “Galileo Galilei”, Università degli Studi di Padova（帕多瓦大学伽利略·伽利莱物理与天文系）
- INFN, Sezione di Padova（意大利国家核物理研究所帕多瓦分部）
- Max Planck Institute for Gravitational Physics (Albert Einstein Institute)（马克斯·普朗克引力物理研究所（爱因斯坦研究所））
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