The usual calculations for gravitational waves linearize the GR equations around the background solution of flat space time ( g = Minkowski metric matrix ) empty of matter and energy ( T = 0 )(adsbygoogle = window.adsbygoogle || []).push({});

What happens in cosmology, when one must linearize the GR equations about the FRW metric matrix with cosmological constant ( on the LHS ) and uniform energy density and pressure ( on the RHS ) ?

Intuitively, the presence of matter throughout the fabric of space time would damp out gravitational waves... The matter could absorb some of the wave energy, like coins carpeting the often mentioned trampoline / rubber sheet. And what about the effects of the cosmological constant... Considered as an intrinsic tendency for curvature of the fabric of space time, maybe it amplifies gravitational waves??

Has any one linearized the GR equations around the FRW + cc metric / uniform universe SET solution? Any popular or journal articles perhaps or other derivations? Seems like the cosmological background solution would have some interesting and perhaps important differences from the flat empty space solution

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# Gravitational waves in cosmology?

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