Reconstruction of generalized ghost pilgrim dark energy in $F(\tilde{R})$ gravity

Abstract

In this paper, we study the reconstruction scenario of a dark energy model in the framework of modified Horava-Lifshitz $F(R)$ gravity or $F(\tilde{R})$ gravity. We assume generalized ghost pilgrim dark energy model in flat universe. We consider three well-known scale factors to analyze the behavior of reconstructed $F(\tilde{R})$ model. These scale factors include bouncing and intermediate scale factors as well as scale factor representing the unification of matter and accelerated phases. The graphical representation is adopted to analyze the behavior of reconstructed model and equation of state parameter for different values of model parameter. The reconstructed model represents increasing and decreasing behavior with respect to time in all cases. The equation of state parameter represents phantom-like universe after transition for intermediate scale factor while quintessence behavior for bouncing and unified scale factors. We also found that the squared speed of sound exhibits the stability of all reconstructed models.