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

References in corpus (2)

• Numerical Strategies of Computing the Luminosity Distance
• An analytical solution in the complex plane for the luminosity distance in flat cosmology