Upper limits on the isotropic gravitational radiation background from pulsar timing analysis

Details Upper limits on the isotropic gravitational radiation background from pulsar timing analysis Upper limits on the isotropic gravitational radiation background from pulsar timing analysis

Feb 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983apj...265l..39h&link_type=abstract

Astrophysical Journal, Part 2 - Letters to the Editor, vol. 265, Feb. 15, 1983, p. L39-L42.

Mathematics

94

Background Radiation, Cosmology, Gravitational Waves, Pulsars, Time Measurement, Doppler Effect, Gravitation Theory, Gravitational Wave Antennas, Isotropy, Limits (Mathematics), Perturbation Theory, Power Spectra, Spectral Energy Distribution, Stochastic Processes

Scientific paper

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 to the -9th to 10 to the -7th Hz. This limit is found to be S(E) = 10 to the 21st f-cubed ergs/cu cm Hz, where S(E) is the energy density spectrum and f is the frequency in Hz. This would limit the energy density at frequencies below 10 to the -8th Hz to be 0.00014 times the critical density.

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