A Study of Stability and Quintessence Polytropic Matter with Thin Shell Wormholes in Exponential Gravity

This paper presents a feasible static and cylinder-like symmetric thin shell wormhole model within the exponential form of f ( R, T ) gravity with normalized Ricci scalar relative to the cosmological constant and this gravity model is coherent with local gravity constraints and cosmologically viable. In this study, the cut-and-paste approach joins two identical spacetimes along a hypersurface Σ. This model assumes isotropic fluid representing the matter sector, with quintessence polytropic energy sustaining matter at the shell. To ensure consistent spacetime matchings, the investigation establishes certain constraints for stable wormhole formations and examines the impact of mass, equation of state parameters, and selected gravitational theory. Stability is ascertained by evaluating the positive value of the potential’s second derivative at the throat radius.