论文标题
脉冲星的定时响应对重力波的重力波从四极近似的巨大紧凑源带有球形波前响应
Pulsar Timing Response to Gravitational Waves with Spherical Wavefronts from a Massive Compact Source in the Quadrupole Approximation
论文作者
论文摘要
Pulsar定时阵列（PTA）正在通过从一组无线电脉冲星的脉冲到达时间互相关来寻找纳米氏频率引力波（GWS）。 PTA依赖于脉冲的频率换档公式，通常假定平面GW。最近已经讨论了由于波前曲率引起的相校正。在本文中，从紧凑型来源（例如超级质量黑洞的二元）中得出了具有完全球形波前的GWS的频率和计时公式，在四孔和脉冲杆之间的GW振幅和脉冲方向之间的差异在四倍体近似值中检查。通过使用新的公式，讨论了平面波近似以外的效果，还提到了银河中心的PTA以及附近的GW源候选。
Pulsar timing arrays (PTAs) are searching for nanohertz-frequency gravitational waves (GWs) through cross-correlation of pulse arrival times from a set of radio pulsars. PTAs have relied upon a frequency-shift formula of the pulse, where planar GWs are usually assumed. Phase corrections due to the wavefront curvature have been recently discussed. In this paper, frequency-shift and timing-residual formulae are derived for GWs with fully spherical wavefronts from a compact source such as a binary of supermassive black holes, where the differences in the GW amplitude and direction between the Earth and the pulsar are examined in the quadrupole approximation. By using the new formulae, effects beyond the plane-wave approximation are discussed, and a galactic-center PTA as well as nearby GW source candidates are also mentioned.
