Mathematics – Logic
Scientific paper
Jun 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983mnras.203..945b&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 203, June 1983, p. 945-954. Research supported by the C
Mathematics
Logic
85
Background Radiation, Cosmology, Gravitational Waves, Periodic Variations, Pulsars, Binary Stars, Milky Way Galaxy, Orbit Calculation, Stochastic Processes
Scientific paper
The authors calculate how a stochastic background of gravitational waves might contribute to the 'timing noise' of pulsars. The published timing data, extending over a timespan T ⪉ 10 yr, already provide a limit Ωg ⪉ 10-3 on the fraction of the critical cosmological density contributed by waves with periods of a few years; less sensitive limits can also be set for waves of shorter periods. Further analysis of existing data could tighten these limits; they will also improve as the time-base T lengthens. The orbital period of the binary pulsar provides a 'clock' whose intrinsic secular behaviour can be predicted, on the basis of general relativity, with an accuracy ≡10-11 yr-1. Searches for disparities between the predicted and measured changes in the orbit could, within a few years, probe the gravitational wave background at periods to ≡104 yr with a sensitivity corresponding to Ωg ≅ 10-4.
Bertotti Bruno
Carr Bernard J.
Rees Martin J.
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