Equation describing propagation of gravitational waves (GW) over arbitrary curved space-time background is analyzed. New terms, which are absent in the conventional homogeneous and isotropic Friedmann cosmology, are found. Some examples of realistic metric, where these new terms manifest themselves, are presented. Possible implications to very low frequency GW are briefly discussed.
@article{arxiv.2011.07594,
title = {On graviton propagation in curved space-time background},
author = {E. V. Arbuzova and A. D. Dolgov and L. A. Panasenko},
journal= {arXiv preprint arXiv:2011.07594},
year = {2022}
}