  It has been shown that gravitational waves propagate through ideal fluids
without experiencing any dispersion or dissipation. However, if the medium has
a non-zero shear viscosity $\eta$ , gravitational waves will be dissipated at a
rate proportional to $G \,\eta$. We constrain dark matter and dark energy
models with non-zero shear viscosity by calculating the dissipation of
gravitational waves from GW150914 which propagate over a distance of $410\, $
Mpc through the dissipative fluid and comparing the data with the theoretical
prediction. This provides a proof-of-principle demonstration of the fact that
future observations gravitational waves at LIGO have the potential of better
constraining the viscosity of dark matter and dark energy.
