Generalized Ghost Version of Pilgrim Dark Energy in Loop Quantum Gravity Motivated Cosmology

One of the most interesting proposals of dark energy model is Pilgrim Dark Energy (PDE). This model is based on the assumption that the rapid expansion of the Universe is due to a phantom-like repulsive force that is capable to prevent black hole formation. In this study, we explore this phenomenon in the framework of Loop Quantum Gravity motivated cosmology by taking the Generalized Ghost version of PDE. An interaction between the constructed DE model and cold dark matter has also been considered. We evaluate the cosmological parameters, such as the Hubble and deceleration parameters, the equation of state parameter \(\omega_{G}\), the squared speed of sound and also cosmological planes \(\omega_{G}\)–\(\omega^{\prime}_{G}\) (where \(\omega^{\prime}_{G}\) is a derivative of \(\omega_{G}\) with respect to the scale factor \(a\)) and the statefinder parameters \(r\) and \(s\) on the basis of the Generalized Ghost version of PDE, the parameter \(u\) and the interaction parameter \(\delta\). The trajectories of these cosmological diagnostic parameters give evidence that our constructed model can explain the phantom regime as well as the quintessence regime in the late Universe. Also, from a stability analysis, we see that our model is classically stable.