A new analytical solution for the distance modulus in flat cosmology

Abstract

A new analytical solution for the luminosity distance in flat $\Lambda$CDM cosmology is derived in terms of elliptical integrals of first kind with real argument. The consequent derivation of the distance modulus allows evaluating the Hubble constant, $H_0=69.77\pm 0.33$, $\om= 0.295\pm0.008$ and the cosmological constant, $\Lambda =(1.194\pm 0.017)10^{-52}\frac{1}{m^2}$.

12 pages and 5 figures

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Cited by in corpus (3)

• Machine-learning computation of distance modulus for local galaxies
• Sparse formulae for the distance modulus in cosmology
• Analytic auto-differentiable $\Lambda$CDM cosmography