Hierarchical Search for Periodic Sources

Details Hierarchical Search for Periodic Sources Hierarchical Search for Periodic Sources

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002nmgm.meet.1915f&link_type=abstract

"THE NINTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and R

Physics

Scientific paper

The amplitude of the periodic gravitational wave produced by a rotating neutron star is 1 h0 = 1.05 \cdot 10{ - 27} ({I3}/{1038 kg m2 } ({10 kpc}/{r}) ({(ν )/({100 Hz)}} ; )2 ( {(ɛ)/({10-6 )}}; ) (1) where I3 is the moment of inertia around the rotation axis, r is the distance of the source, ν is the gravitational wave frequency and γ is the ellipticity of the star; because of the emission of gravitational waves, there is a decay time τ sd = - (ν )/({˙ ν )} = {5c5}/{128π 4 GI3 \in 2 ν 4 }} ˜= 1.2 \cdot 107 ( {I3 }/{1038 kg \cdot m2 } )-1 ( {(ɛ)/({10-6 )-2 ( {ν 0 100Hz )-4 yr (2) Note the very tiny signal, compared with the expected noise of the gravitational interferometers Sh (at the best, we foresee Sh ≈ 3·10-23Hz-1/2 in the first version of Virgo and Ligo, Sh ≈ 10-24Hz-1/2 for advanced detectors; in this paper we consider "standard noise density" the value Sh = 10-23Hz-1/2, to simplify the scaling) ...

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