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arXiv 2211.03349astro-ph.HEgr-qchep-th
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四极近似下大质量致密源球面波前引力波的脉冲星计时响应

Pulsar Timing Response to Gravitational Waves with Spherical Wavefronts from a Massive Compact Source in the Quadrupole Approximation

Ryousuke Kubo, Kakeru Yamahira, Hideki Asada

AI总结:

本文在四极近似下推导了球面波前引力波的脉冲星计时频率偏移与残差公式,分析了波前曲率对PTA探测的影响,并讨论了银河系中心PTA及邻近源候选体的应用。

摘要:

脉冲星计时阵列(PTAs)正在通过一组射电脉冲星脉冲到达时间的互相关来搜寻纳赫兹频率的引力波(GWs)。PTAs一直依赖于脉冲的频率偏移公式,其中通常假设平面引力波。最近人们讨论了由波前曲率引起的相位修正。本文针对来自致密源(如超大质量黑洞双星)的完全球面波前引力波,推导了频率偏移和计时残差公式,并在四极近似下考察了地球与脉冲星之间引力波振幅和方向的差异。利用新公式,讨论了超越平面波近似的效应,并提及了银河系中心PTA以及邻近的引力波源候选体。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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