Physical characteristics of wormhole geometries under different EoS in the context of Rastall gravity

Abstract

This paper investigates the characteristics of wormhole solutions within the framework of Rastall gravity. First, we derived the shape functions using two different equations of state (EoS). Then we examined the essential characteristics of the shape function for wormholes and the behavior of energy conditions. The present investigation based on the EoS produces wormhole solutions valid for negative values of μ or Υ, where μ=κΥ is a dimensionless parameter and Υ denotes a Rastall parameter. Furthermore, the Rastall parameter Υ plays a vital role in the stability conditions and geometric properties of a wormhole. The volume integral quantifier (V IQ) is also discussed, which gives the idea of the amount of exotic matter required near the wormhole throat. The conclusion shows that our solutions derived using both EoS in Rastall gravity are physically feasible.