Upper limits on the isotropic gravitational radiation background from pulsar timing analysis
Upper limits on the isotropic gravitational radiation background from pulsar timing analysis
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DOI：
10.1086/183954
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发表时间：
1983-02
期刊：
影响因子：
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通讯作者：
R. Hellings;G. Downs
中科院分区：
文献类型：
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作者：
R. Hellings;G. Downs
脉冲星和地球可以被认为是自由质量引力波天线的末端质量，其中质量的相对运动通过观察脉冲到达时间的多普勒频移来监测。利用PSR 1133+16、1237+25、1604-00和2045-16的定时残差，导出了4 × 10/sup-9/~ 10/sup-7/ Hz频段内各向同性引力辐射背景谱的上限。该极限为S/sub E/ = 10/sup 21/f/sup 3/ ergs cm/sup-3/ Hz/sup-1/，其中S/sub E/为能量密度谱，f为频率（Hz）。这将限制频率低于10/sup -8/ Hz时的能量密度为临界密度的1.4 x 10/sup -4/倍。
A pulsar and the Earth may be thought of as end masses of a free-mass gravitational wave antenna in which the relative motion of the masses is monitored by observing the Doppler shift of the pulse arrival times. Using timing residuals from PSR 1133+16, 1237+25, 1604-00, and 2045-16, an upper limit to the spectrum of the isotropic gravitational radiation background has been derived in the frequency band 4 x 10/sup -9/ to 10/sup -7/ Hz. This limit is found to be S/sub E/ = 10/sup 21/f/sup 3/ ergs cm/sup -3/ Hz/sup -1/, where S/sub E/ is the energy density spectrum and f is the frequency in Hz. This would limit the energy density at frequencies below 10/sup -8/ Hz to be 1.4 x 10/sup -4/ times the critical density.