Gravitational Wave Distances in Horndeski Cosmology

Abstract

Gravitational wave propagation encounters a spacetime friction from a running Planck mass in modified gravity, causing the luminosity distance to deviate from that in general relativity (or given by the photon luminosity distance to the source), thus making it a valuable cosmological probe. We present the exact expression for the cosmological distance deviation in Horndeski gravity including theories that have a $G_5$ term yet propagate at the speed of light. An especially simple result ensues for coupled Gauss-Bonnet gravity, which we use to show it does not give a viable cosmology. We also generalize such coupling, and review the important connection of gravitational wave cosmological distance deviations to growth of cosmic structure measured by redshift space distortions.

arXiv comment5 pages; v2 typos corrected

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Cited by in corpus (2)

• Shrouded black holes in Einstein-Gauss-Bonnet gravity
• Modified propagation of gravitational waves from the early radiation era