Constraints on f (Q) logarithmic model using gravitational wave standard sirens

ABSTRACT In this paper, we revise the constraints on the f (Q) = Q/ (8πG) – αln (Q/Q0), symmetric teleparallel model using local measurements and gravitational waves mock standard sirens. Using observational local SNIa and BAO data and energy conditions, the logarithmic f (Q) model is capable of explaining the cosmic late-time acceleration by geometrical means. This result suggests that the logarithmic symmetric teleparallel model could be a candidate to solve the cosmological constant problem. In the case of the simulated standard siren data, by using the performance of the future Einstein Telescope (ET) and Laser Interferometer Space Antenna (LISA) detectors, we expect to be able to measure the current Hubble constant H0, and the matter content Ωm, with a precision better than 1 and 6 per cent, respectively. Furthermore, we explore the predicted f (Q) logarithmic model deviation from the standard General Relativity (GR) using ET and LISA mock standard sirens. The ratio d_ L^gw (z) / d_ L^em (z), which quantifies the deviation from GR gives us a significant deviation higher than 13 per cent at z = 1, and it continues growing to reach a deviation higher than 18 per cent in its median value. Future standard siren data will be able to quantify the strength of the deviation from GR, and hence whether a cosmology like the one implied by this f (Q) model is feasible.