Strongly lensed supernovae as a self-sufficient probe of the distance duality relation

Understand

The observation of strongly lensed Type Ia supernovae enables both the luminosity and angular diameter distance to a source to be measured simultaneously using a single observation.

• This feature can be used to measure the distance duality parameter $\eta(z)$ without relying on multiple datasets and cosmological assumptions to reconstruct the relation between angular and luminosity distances.
• In this paper, we show how this can be achieved by future observations of strongly lensed Type Ia systems.
• Using simulated datasets, we reconstruct the function $\eta(z)$ using both parametric and non-parametric approaches, focusing on Genetic Algorithms and Gaussian processes for the latter.