爱因斯坦 - 麦克斯韦 - 伸缩子理论中，非圆形、无自旋黑洞双星的后牛顿阶角动量通量
Angular momentum flux through post-Newtonian order for noncircular nonspinning black-hole binaries in Einstein-Maxwell-dilaton theory
- School of Physics and Optoelectronics, South China University of Technology（华南理工大学物理与光电工程学院）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
研究爱因斯坦 - 麦克斯韦 - 伸缩子理论中无自旋黑洞双星非圆形轨道的角动量通量，采用松弛场方程直接积分法，构建波区场并表示源多极矩，得到各通道贡献及相关极限，为轨道演化等研究提供耗散信息。
AI中文摘要：
我们计算了爱因斯坦 - 麦克斯韦 - 伸缩子理论中，无自旋黑洞双星在一般非圆形轨道上，直至相对一阶后牛顿阶的瞬时角动量通量。在爱因斯坦框架下，采用松弛场方程直接积分法，在波区构建标量、电磁和张量引力场，并在质心框架中表示所需的源多极矩。除了主导的$1/R$辐射场外，还保留了波区场中次主导的$1/R^2$项，这些项描述有限距离修正且对无穷远处的通量无贡献。分别得到了角动量通量的标量、电磁和张量贡献。标量和电磁通道始于偶极辐射，张量通道始于四极阶。我们的结果恢复了准圆形平衡关系、已知的广义相对论极限以及预期的标量和电磁偶极抑制极限。结合先前已知的能量通量，这些结果为爱因斯坦 - 麦克斯韦 - 伸缩子理论中轨道平均偏心演化和波形相位的未来研究提供了耗散信息。
英文摘要：
We compute the instantaneous angular momentum flux from nonspinning black hole binaries in Einstein-Maxwell-dilaton theory for generic noncircular orbits up to relative first post-Newtonian order. Working in the Einstein frame and using the direct integration of the relaxed field equations approach, we construct the scalar, electromagnetic, and tensor gravitational fields in the wave zone and express the required source multipole moments in the center-of-mass frame. In addition to the leading $1/R$ radiative fields, we retain the next-to-leading $1/R^2$ terms in the wave-zone fields, which describe finite-distance corrections and do not contribute to the flux at null infinity. We obtain separately the scalar, electromagnetic, and tensor contributions to the angular momentum flux. The scalar and electromagnetic channels begin with dipole radiation, while the tensor channel begins at quadrupole order. Our results recover the quasicircular balance relation, the known general-relativistic limit, and the expected scalar- and electromagnetic-dipole suppression limits. Together with the previously known energy flux, these results provide the dissipative information required for future studies of orbit-averaged eccentric evolution and waveform phasing in Einstein-Maxwell-dilaton theory.
