Generalised model-independent characterisation of strong gravitational lenses V: reconstructing the lensing distance ratio by supernovae for a general Friedmann universe

Understand

We determine the cosmic expansion rate from supernovae of type Ia to set up a data-based distance measure that does not make assumptions about the constituents of the universe, i.e.

• about a specific parametrisation of a Friedmann cosmological model.
• The scale, determined by the Hubble constant $H_0$, is the only free cosmological parameter left in the gravitational lensing formalism.
• We investigate to which accuracy and precision the lensing distance ratio $D$ is determined from the Pantheon sample.