Discriminating different models of luminosity-redshift distribution

TL;DR

This paper explores how different cosmological models can be distinguished based on their luminosity-redshift distributions, even when they fit supernova data equally well, using a pedagogical example with LTB geometry.

Contribution

It demonstrates a method to discriminate between cosmological models by analyzing luminosity-redshift relations beyond standard data fitting.

Findings

Different models can produce similar supernova data fits.

Luminosity-redshift distribution differences can help distinguish models.

The LTB geometry example illustrates this discriminative approach.

Abstract

The beginning of the cosmological phase bearing the direct kinematic imprints of supernovae dimming may significantly vary within different models of late-time cosmology, even if such models are able to fit present SNe data at a comparable level of statistical accuracy. This effect -- useful in principle to discriminate among different physical interpretations of the luminosity-redshift relation -- is illustrated here with a pedagogical example based on the LTB geometry.