Title: Eccentric Gravitational Wave Bursts in the Post-Newtonian Formalism Show Chinese title

Title: 后牛顿形式下的偏心引力波爆发

Abstract: The detection of GW150914 by ground based gravitational wave observatories has brought about a new era in astrophysics. At optimal sensitivity, these observatories are expected to detect several events each year, with one or two of these occurring with non-negligible eccentricity. Such eccentric binaries will emit bursts of gravitational radiation during every pericenter passage, where orbital velocities can reach greater than ten percent the speed of light. As a result, such binaries may prove to be powerful probes of extreme gravitational physics and astrophysics. A promising method of achieving detection of such binaries is through power stacking, where the power in each burst is added up in time-frequency space. This detection strategy requires a theoretical prior of where the bursts will occur in time and frequency so that one knows where to search for successive bursts. We here present a generic post-Newtonian formalism for constructing such time-frequency model priors at generic post-Newtonian order. We apply our formalism to generate a burst model at third post-Newtonian order, making it potentially the most accurate, fully analytic model to date. Show Chinese abstract

Abstract: 基于地面引力波观测台对GW150914的探测开启了天体物理学的新纪元。在最佳灵敏度下，这些观测台预计每年会检测到几次事件，其中一到两次事件具有不可忽略的偏心率。这种偏心双星会在每次近心点经过时发射引力辐射脉冲，轨道速度可达到光速的百分之十以上。因此，这类双星可能成为极端引力物理和天体物理学的强大探针。一种有望实现这类双星探测的方法是通过功率叠加，在时频空间中将每个脉冲的功率相加。这种探测策略需要一个理论先验，以确定脉冲在时频空间中的出现位置，从而知道在哪里寻找后续的脉冲。我们在此提出了一种通用的后牛顿形式主义，用于构建任意后牛顿阶数的时频模型先验。我们将我们的形式主义应用于生成第三后牛顿阶的脉冲模型，使其有可能成为迄今为止最准确、完全解析的模型。