On graviton propagation in curved space-time background. (arXiv:2011.07594v2 [gr-qc] UPDATED)

<a href="http://arxiv.org/find/gr-qc/1/au:+Arbuzova_E/0/1/0/all/0/1">E.V. Arbuzova</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Dolgov_A/0/1/0/all/0/1">A.D. Dolgov</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Panasenko_L/0/1/0/all/0/1">L. A. Panasenko</a>

Equation describing propagation of gravitational waves (GW) over arbitrary

curved space-time background is analyzed. The new terms, which are absent in

the conventional homogeneous and isotropic Friedmann cosmology, are found. A

section where we have discussed the choice of gauge for tensor perturbations is

added. Some examples of realistic metric, where this new term manifests itself,

are presented. Possible implications to very low frequency GW are briefly

discussed.

Equation describing propagation of gravitational waves (GW) over arbitrary

curved space-time background is analyzed. The new terms, which are absent in

the conventional homogeneous and isotropic Friedmann cosmology, are found. A

section where we have discussed the choice of gauge for tensor perturbations is

added. Some examples of realistic metric, where this new term manifests itself,

are presented. Possible implications to very low frequency GW are briefly

discussed.

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