Generalized framework for testing gravity with gravitational-wave propagation. II. Constraints on Horndeski theory
arXiv:1711.03776 · doi:10.1103/PhysRevD.97.104038
Abstract
Gravitational waves (GW) are generally affected by modification of a gravity theory during propagation in cosmological distance. We numerically perform a quantitative analysis on Horndeski theory at cosmological scale to constrain the Horndeski theory by GW observations in model-independent way. We formulate a parameterization for a numerical simulation based on the Monte Carlo method and obtain the classification of the models that agrees with cosmic accelerating expansion within observational errors of the Hubble parameter. As a result, we find that a large group of the models in the Horndeski theory that mimic cosmic expansion of CDM model can be excluded from the simultaneous detection of a GW and its electromagnetic transient counterpart. Based on our result and the latest detection of GW170817 and GRB170817A, we conclude that the subclass of Horndeski theory including arbitrary functions and can hardly explain cosmic accelerating expansion without fine-tuning.
arXiv comment10 pages, 6 figures, PRD submitted version, PRD published
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