Study of cosmological evolution via GGPDE f (R) models

Abstract

© 2021 World Scientific Publishing Company.This paper examines the cosmic evolution and current expansion for flat FRW universe through generalized ghost pilgrim dark energy model in f(R) gravity. For this purpose, we reconstruct the models in terms of red-shift parameter with respect to three scale factors, i.e. power-law, intermediate and a scale factor defining two unified phases. We study compatibility of reconstructed f(R) models through r-s planes whereas graphical analysis of squared speed of sound leads to investigate their stability. We also explore the behavior of cosmological parameters such as equation of state and deceleration parameters. Moreover, we study the existence of freezing/thawing regions via ω-ω ′ planes. We conclude that squared speed of sound identifies both stability/instability of reconstructed f(R) models while equation of state and deceleration parameters specifies transition from decelerated to accelerated expanding cosmos. The ω-ω planes discover thawing as well as freezing regions for particular values of pilgrim parameter.