On graviton propagation in curved space-time background

TL;DR

This paper analyzes how gravitational waves propagate in curved space-time, revealing new terms absent in standard cosmological models and discussing potential implications for low-frequency gravitational wave detection.

Contribution

It introduces additional terms in the gravitational wave propagation equation that appear in realistic curved backgrounds, extending beyond conventional Friedmann cosmology.

Findings

New terms in GW propagation equations identified

Examples of realistic metrics where new terms appear provided

Implications for low-frequency GW detection discussed

Abstract

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.