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The gravitational-wave luminosity distance in modified gravity theories · Around

2017

The gravitational-wave luminosity distance in modified gravity theories

Belgacem, Enis, Dirian, Yves, Foffa, Stefano et al.

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In modified gravity the propagation of gravitational waves (GWs) is in general different from that in general relativity.

As a result, the luminosity distance for GWs can differ from that for electromagnetic signals, and is affected both by the dark energy equation of state $w_{\rm DE}(z)$ and by a function $\delta(z)$ describing modified propagation.
We show that the effect of modified propagation in general dominates over the effect of the dark energy equation of state, making it easier to distinguish a modified gravity model from $\Lambda$CDM.
We illustrate this using a nonlocal modification of gravity, that has been shown to fit remarkably well CMB, SNe, BAO and structure formation data, and we discuss the prospects for distinguishing nonlocal gravity from $\Lambda$CDM with the Einstein Telescope.

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