TITLE:
The Distance Modulus in Dark Energy and Cardassian Cosmologies via the Hypergeometric Function
AUTHORS:
Lorenzo Zaninetti
KEYWORDS:
Cosmology, Observational Cosmology, Distances, Redshifts, Radial Velocities, Spatial Distribution of Galaxies, Magnitudes and Colors, Luminosities
JOURNAL NAME:
International Journal of Astronomy and Astrophysics,
Vol.9 No.3,
September
4,
2019
ABSTRACT: The presence of the dark energy allows both the acceleration and the expansion of the universe. In the case of a constant equation of state for dark energy we derived an analytical solution for the Hubble radius in terms of the hypergeometric function. An approximate Taylor expansion of order seven is derived for both the constant and the variable equation of state for dark energy. In the case of the Cardassian cosmology, we also derived an analytical solution for the Hubble radius in terms of the hypergeometric function. The astronomical samples of the distance modulus for Supernova (SN) of type Ia allows the derivation of the involved cosmological in the case of constant equation of state, variable equation of state and Cardassian cosmology.