发表机构
Nicolaus Copernicus Astronomical Center, Polish Academy of Sciences（尼古拉·哥白尼天文中心，波兰科学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文利用有效场论方法推导了爱因斯坦-麦克斯韦-膨胀子理论中带电黑洞双星至二阶后牛顿阶的守恒动力学，为高精度波形建模和引力波检验该理论奠定基础。
AI 中文摘要
致密双星并合产生的引力波探测为在强场区域检验广义相对论以及搜寻其他引力理论的特征提供了强有力的机会。在本工作中，我们考虑爱因斯坦-麦克斯韦-膨胀子（EMd）理论，在该理论中黑洞可以同时携带电荷和标量（膨胀子）荷。我们采用有效场论方法，并结合时空的卡鲁扎-克莱因分解（以非相对论引力场表示），推导了EMd理论中带电黑洞双星在二阶后牛顿（PN）阶的守恒两体拉格朗日量。我们的计算将先前已知的一阶PN守恒动力学推广到二阶PN阶，并包含了引力、电磁和膨胀子相互作用。我们在适当的爱因斯坦-麦克斯韦、标量-张量和广义相对论极限下验证了结果，并对静态二阶PN部分进行了独立的检验体极限检查。这些结果为开发更高精度的波形模型以及利用引力波观测检验EMd理论提供了所需的守恒动力学。
英文摘要
The detection of gravitational waves from compact binary coalescences provides a powerful opportunity to test general relativity in the strong-field regime and to search for signatures of alternative theories of gravity. In this work, we consider Einstein-Maxwell-Dilaton (EMd) theory, in which black holes can carry both electric and scalar (dilatonic) charges. We employ the effective field theory approach, together with a temporal Kaluza-Klein decomposition of the metric in terms of non-relativistic gravitational fields, to derive the conservative two-body Lagrangian for charged black-hole binaries in EMd theory through second post-Newtonian (PN) order. Our calculation extends the previously known conservative dynamics at 1PN order and includes the gravitational, electromagnetic, and dilaton interactions at 2PN order. We verify the result in the appropriate Einstein-Maxwell, scalar-tensor, and general relativistic limits, and perform an independent test-body-limit check of the static 2PN sector. These results provide the conservative dynamics needed for developing higher-accuracy waveform models and testing EMd theory with gravitational-wave observations.
Comments25 pages, and 8 figures
