A new analytical approximation of luminosity distance by optimal HPM-Padé technique
arXiv:2101.05276 · doi:10.1016/j.dark.2021.100772
Abstract
By the use of homotopy perturbation method-Padé (HPM-Padé) technique, a new analytical approximation of luminosity distance in the flat universe is proposed, which has the advantage of significant improvement for accuracy in approximating luminosity distance over cosmological redshift range within . Then we confront the analytical expression of luminosity distance that is obtained by our new approach with the observational data, for the purpose of checking whether it works well. In order to probe the robustness of the proposed method, we also confront it to supernova type Ia and recent data on the Hubble expansion rate . Markov Chain Monte Carlo (MCMC) code emcee is used in the data fitting. The result indicates that it works fairly well.
arXiv comment23 pages, 7 figures, 2 tables; accepted for publication in Physics of the Dark Universe
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