Accelerating Universe in Terms of Hankel Function Index
In this paper, $F(ν)$ cosmology is proposed for the accelerating universe with asymptotic de Sitter expansion in terms of Hankel function index $ν$. To some extent, both the initial expansion during early inflation and the current accelerated expansion can be studied with a vacuum cosmic fluid i.e. $Λ$ in the pure de Sitter phase. Observational data further support the notion of a quasi-vacuum fluid, rather than a pure vacuum, contributing to the quasi-de Sitter acceleration in both the early and late universe. By examining the asymptotic expansion of the Henkel function as an approximate solution of the Mukhanov-Sasaki equation, we seek a more detailed study of quasi-de Sitter solutions in cosmology containing vacuum-like fluid.
gr-qc↗