Distance-duality in theories with a nonminimal coupling to gravity

Abstract

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 constrains derived from cosmic-microwave background radiation and big-bang nucleosynthesis data.

Cosmic distance duality as a probe of minimally extended varying speed of light

“…• Deviation from a metric theory of gravity: non-minimal coupling gravity induces photons not to follow null geodesic [7][8][9].…”