Search of a gravitational wave background in timing residuals of PSR 1937+21: minimal model and upper limits on Omega_gr

Details Search of a gravitational wave background in timing residuals of PSR 1937+21: minimal model and upper limits on Omega_gr Search of a gravitational wave background in timing residuals of PSR 1937+21: minimal model and upper limits on Omega_gr

Jun 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997mnras.288..533z&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Volume 288, Issue 2, pp. 533-537.

Astronomy and Astrophysics

Astronomy

1

Cosmic Strings, Gravitation, Methods: Statistical, Pulsars: Individual: Psr 1937+21, Early Universe, Large-Scale Structure Of Universe

Scientific paper

Although many phenomena can account for pulsar timing residuals, previous upper limits on the amplitude Omega_gr of a gravitational wave background were all obtained with the same decomposition into a measurement noise with known variance and a gravitational noise parametrized by Omega_gr. The justification of this minimal model (MM) is its ability to provide, on average over an infinite set of measurements, the highest upper limits on Omega_gr compared with other models. Keeping with this model, and using free-access Arecibo data concerning PSR 1937+21, we derive a set of 157 estimators of Omega_gr and obtain the 95 per cent confidence upper limit of 1.7x10^-7 using a Bayesian method. We also show evidence of a third term in the residuals (97 per cent confidence), which questions the adequacy of the MM.

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