Influence of a stochastic background of gravitational waves on the timing of pulsars

Details Influence of a stochastic background of gravitational waves on the timing of pulsars Influence of a stochastic background of gravitational waves on the timing of pulsars

Nov 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985mnras.217..265m&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 217, Nov. 1, 1985, p. 265-279. DFG-supported research.

Astronomy and Astrophysics

Astronomy

3

Background Radiation, Gravitational Waves, Pulsars, Relic Radiation, Stochastic Processes, Correlation, Frequency Shift, Radiant Flux Density, Spectral Energy Distribution, Time Measurement

Scientific paper

The theory of the influence of a random and isotropic cosmic background of gravitational radiation on the timing analysis of pulsars is further developed. General expressions are derived for the correlation functions of frequency shifts and timing residuals of pulsars due to a stochastic background. The coherence properties of the background are discussed, and it is shown that the timing analysis of an ensemble of Earth-pulsar systems may be used to establish upper limits on the energy density of an incoherent background for frequencies νg ⪉ 10-8Hz.

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