hi cosmo-torun
http://arxiv.org/abs/1102.3370 The Metric of the Cosmos from Luminosity and Age Data Krzysztof Bolejko, Charles Hellaby, Alnadhief H. A. Alfedeel
This is an algorithm for using LT models to construct a metric from apparent magnitude and maximum stellar age data (as an alternative to forcing an FLRW model onto the data). Graphs of estimates of Omega_m(r) and t_Bang(r) are in Figs 7 and 8.
pozdr boud