发表机构
Nanchang University; Putian University（南昌大学; 莆田学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究推导了一般克尔轨道上电磁卡特常数通量，结合引力通量构建绝热旋进，通过贝叶斯推断约束次级天体的矢量电荷，发现电荷与源参数强相关且约束随倾角非单调变化。
AI 中文摘要
极端质量比旋进（EMRI）通过其对引力波相位的累积影响，为探测额外基本场提供了强有力的手段。然而，对一般克尔轨道上的矢量辐射进行建模需要演化卡特常数，而该常数无法仅通过能量和角动量平衡来确定。在此，我们推导了偏心和倾斜的非共振克尔测地线的轨道平均电磁卡特常数通量，包括无穷远和事件视界处的部分。结合引力和电磁能量及角动量通量，我们使用四维切比雪夫插值方法构建了通用的绝热旋进。我们将相对论轨迹纳入最先进的FastEMRIWaveform软件包中，并对次级天体携带的矢量电荷进行了贝叶斯推断。我们的分析揭示了电荷与源内在参数之间存在显著相关性，且矢量电荷约束对轨道倾角表现出非单调依赖。这些结果为研究一般EMRI中额外的矢量辐射通道及其对未来天基引力波观测检验引力的意义建立了框架。
英文摘要
Extreme-mass-ratio inspirals (EMRIs) offer a powerful probe of additional fundamental fields through their cumulative influence on gravitational-wave phases. However, modeling vector radiation from generic Kerr orbits requires the evolution of the Carter constant, which cannot be determined from energy and angular-momentum balance alone. Here we derive the orbit-averaged electromagnetic Carter-constant flux for eccentric and inclined, nonresonant Kerr geodesics, including sections at infinity and event horizon. Combining the gravitational and electromagnetic energy and angular-momentum fluxes, we construct generic adiabatic inspirals using a four-dimensional Chebyshev interpolation mathod. We incorporate the relativistic trajectories into the state of the art of FastEMRIWaveform package and perform Bayesian inference of vector charge carried by secondaries. Our analysis reveals substantial correlations between the charge and intrinsic source parameters, with vector charge constraints exhibiting a nonmonotonic dependence on orbital inclination. These results establish a framework for investigating additional vector-radiation channels in generic EMRIs and their implications for tests of gravity with future space-based gravitational wave observations.
Comments25 pages, 7 figures
