Generalized Chaplygin Gas Traversable Wormhole Solutions by Using GUP Corrected Casimir Energy

Abstract

In this thesis, we explore the wormhole solutions (which are initially pro- sed by Garattoni (Eur. Phys. J. C 79(2019)951) who take generalized certainty principle (GUP) with Casimir energy) in the framework of two ll-known dark energy models, generalized Chaplygin gas and polytropic s. We consider the GUP corrected pressure (force per unit surface area) the equation of state of these dark energy models to construct the gener- zed Chaplygin gas corrected energy density and polytropic gas corrected ergy density. Three models of redshift function are taken into account construct shape function as well as wormhole geometry for both cases corrected energy densities. We find the behavior of some parameters ough equation of state, energy conditions (null, weak and strong) at the oat of the wormhole with radius r0.