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Considering the cosmological redshift $z_c$ , the mass of GW source extractedfrom GW signal is $1+z_c$ times larger than its intrinsic value, and distancebetween detector and GW source should be regarded as luminosity distance.However, besides cosmological redshift, there are other kinds of redshiftsshould be considered, which is actually ignored, in the analysis of GW data,such as Doppler redshift and gravitational redshift, so the parametersextracted from GW may deviate from their intrinsic values. Another factor thatmay affect GW is the viscous medium in propagation path of GW, which may dampthe GW with a damping rate of $16{\pi}G{\eta}$. Some studies indicate darkmatter may interact with each other, thus dark matter may be the origin ofviscosity of cosmic medium. Then the GW may be rapidly damped by the viscousmedium that is made of dark matter, such as dark matter "mini-spike" aroundintermediate mass black hole. In this article, we mainly discuss how Dopplerand gravitational redshift, together with the damping effect of viscous medium,affect the information, such as the mass and redshift of GW source, extractedfrom GW signals.

The effect of redshift degeneracy and the damping effect of viscous medium on the information extracted from gravitational wave signals