We show that astrophysical gravitational waves can undergo an anomalous modulation when propagating through cosmic gauge field dark energy. A sufficiently strong effect, dependent on the gauge field energy density, would appear as a redshift-dependent opacity, thereby impacting the use of gravitational wave standard sirens to constrain the expansion history of the Universe. We investigate a particular model of cosmic gauge field dark energy and show that at early times it behaves like dark radiation, whereas a novel interaction causes it to drive cosmic acceleration at late times. Joint constraints on the cosmological scenario due to type 1a supernovae, baryon acoustic oscillations, and cosmic microwave background data are presented. In view of these constraints, we show that standard siren luminosity distances in the redshift range 0.5 z 1.5 would systematically dim by up to 1%, which may be distinguishable by third-generation gravitational wave detectors.
I. INTRODUCTIONThe recent detection of gravitational waves has led to the emergence of gravitational wave astronomy, opening a new vista to astrophysical phenomena. The tantalizing prospect of combining gravitational wave (GW) sources with an electromagnetic (EM) counterpart is expected to lead to the development of a new method to constrain the expansion history of the Universe [1,2]. The GW profile of binary inspirals, for example, is so distinctive that the luminosity distance of the source can be inferred within 1 − 10% uncertainty [3]. Observatories such as advanced LIGO [4,5], the proposed Einstein Telescope [6,7], and the future space-based detector LISA [8] are expected to achieve the sensitivity required to make the detection of such "standard sirens" commonplace, extending the reach of GW astronomy to high redshift.The luminosity distance inferred from GW standard sirens is susceptible to novel effects that could be within reach of future GW detectors. In particular, we focus on the phenomenon of gravitational wave -gauge field (GWGF) oscillations, in which the amplitude of a GW modulates as it propagates through a cosmic gauge field [9]. In a dark energy model based on a homogeneous non-Abelian gauge field, this effect would result in a distinct imprint on astrophysical GWs. Specifically, GWs couple to wave-like excitations in a background gauge field. At high frequencies relevant for astrophysical sources, the system is akin to a pair of coupled oscillators: as energy exchange occurs between the two oscillators, the GW amplitude weakens and grows continuously, leading to temporal blind spots. An otherwise strong GW would thus arrive at our detectors with a much lower amplitude. To study this effect in a cosmological setting, we begin this article by considering a model of dark energy based on a SU(2) gauge field. While originally introduced in the context of primordial inflation [10], a similar model can also be used to address the present-day cosmic acceleration [11]. We show that the net effect on astrophysical GWs is a redshift-dependent reducti...