The Distance Modulus in Dark Energy and Cardassian Cosmologies via the Hypergeometric Function

• 作者: Lorenzo Zaninetti
• 来源期刊: 天文学与天体物理学国际期刊(英文)
• 学科: 地球科学
• 关键词: COSMOLOGY Observational COSMOLOGY Distances REDSHIFTS Radial Velocities Spatial Distribution of Galaxies MAGNITUDES and Colors LUMINOSITIES
• 年，卷（期）: 2019,（3）
• 页码范围: 231-246
• 页数: 16页
• 分类号: P1

摘要

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.