Primordial gravitational waves in Horndeski gravity. (arXiv:1811.12760v1 [gr-qc])

Primordial gravitational waves in Horndeski gravity. (arXiv:1811.12760v1 [gr-qc])
<a href="http://arxiv.org/find/gr-qc/1/au:+Nunes_R/0/1/0/all/0/1">Rafael C. Nunes</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Alves_M/0/1/0/all/0/1">Marcio E. S. Alves</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Araujo_J/0/1/0/all/0/1">Jose C. N. de Araujo</a>

We investigate the propagation of primordial gravitational waves within the
context of the Horndeski theories, for this, we present a generalized transfer
function quantifying the sub-horizon evolution of gravitational waves modes
after they enter the horizon. We compare the theoretical prediction of the
primordial gravitational waves spectral density with the aLIGO, Einstein
telescope, LISA, gLISA and DECIGO sensitivity curves. Assuming reasonable and
different values for the free parameters of the theory (in agreement with the
event GW170817), we note that the gravitational waves amplitude can vary from
1% up to 90% in comparison with general relativity. We find that in some
cases the gravitational primordial spectrum cross the sensitivity curves for
LISA and DECIGO detectors. From our results, it is clear that the future
generations of interferometers can bring new perspectives to probing
modifications in general relativity.

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