Distance-duality in theories with a nonminimal coupling to gravity

We show that gravitational theories with a nonminimal coupling (NMC) to the matter fields lead to a violation of Etherington's distance-duality relation, which relates the luminosity and angular-diameter distances. We derive constraints on power-law and exponential NMC models using existing measurements of type Ia supernovae and baryon acoustic oscillations throughout the redshift range 0 <z <1.5 . These complement previous constraints derived from cosmic-microwave background radiation and big bang nucleosynthesis data.