TITLE:
An Analytical Solution in the Complex Plane for the Luminosity Distance in Flat Cosmology
AUTHORS:
Lorenzo Zaninetti
KEYWORDS:
Cosmology, Observational Cosmology, Distances, Redshifts, Radial Velocities, Spatial Distribution of Galaxies
JOURNAL NAME:
Journal of High Energy Physics, Gravitation and Cosmology,
Vol.2 No.4,
September
13,
2016
ABSTRACT: We present an analytical solution for the luminosity distance in spatially flat cosmology with pressureless matter and the cosmological constant. The complex analytical solution is made of a real part and a negligible imaginary part. The real part of the luminosity distance allows finding the two parameters H0 and ΩM . A simple expression for the distance modulus for SNs of type Ia is reported in the framework of the mini-max approximation.