Resonant Decay of Gravitational Waves into Dark Energy
arXiv:1906.07015 · doi:10.1088/1475-7516/2019/10/072
Abstract
We study the decay of gravitational waves into dark energy fluctuations , taking into account the large occupation numbers. We describe dark energy using the effective field theory approach, in the context of generalized scalar-tensor theories. When the (cubic Horndeski) and (beyond Horndeski) operators are present, the gravitational wave acts as a classical background for and modifies its dynamics. In particular, fluctuations are described by a Mathieu equation and feature instability bands that grow exponentially. Focusing on the regime of small gravitational-wave amplitude, corresponding to narrow resonance, we calculate analytically the produced , its energy and the change of the gravitational-wave signal. The resonance is affected by self-interactions in a way that we cannot describe analytically. This effect is very relevant for the operator and it limits the instability. In the case of the operator self-interactions can be neglected, at least in some regimes. The modification of the gravitational-wave signal is observable for with a LIGO/Virgo-like interferometer and for with a LISA-like one.
arXiv comment31 pages, 7 figures. Matches JCAP version
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