Modeling Generalized Ghost Pilgrim Dark Energy within Self-Creation Gravitational Theory

Abstract

This work is based on the Bianchi type-II space-time and the generalized ghost pilgrim dark energy in the self-creation theory of gravitation. To determine the exact solutions to the field equations, we employed the average scale factor  offered by Mishra and Dua [12], the relation between metric potentials proposed by Collins et al.,[40], and the trace of the energy momentum tensor is zero proposed by Reddy et al., [10]. We have investigated the GGPDE and dark matter (DM), both in the presence and absence of interaction. The Hubble parameter, the equation of state (EoS) parameter, the deceleration parameter, and other important and well-known quantities are generated for both theories. It is found that the EoS parameter is constant for both models, whereas the deceleration parameters indicate an accelerated phase. The stability analysis and the energy conditions are analyzed for both the interacting and non-interacting models.