A study of wormhole geometries in symmetric teleparallel gravity

Abstract

In this manuscript, we obtained the exact solutions of asymptotically flat wormhole (WH) geometry in the mechanism of symmetric f(Q) gravity (vanishing curvature and torsion) where Lagrangian is a function of nonmetricity Q. In this scenario, we choose two different types of f(Q) gravity models (logarithmic and exponential) along with the special choice of shape function , and red-shift function . Here, γ affects the radius of curvature of WH. Under this scenario, we explore the viability of the shape function and energy conditions (ECs) of the WH solutions for each model. For both models, we determine the validity regions of ECs under some parameter spaces of the model parameters. The allowed parameter spaces for logarithmic and exponential models are illustrated in tables and , respectively. The validity region for the null EC (NEC) represents that WH geometry in chosen f(Q) gravity models is supported by ordinary matter while exotic matter elsewhere. Furthermore, we represent the WH construction by embedding diagrams and shows that the derived WH solutions are stable for the allowed range of model parameters. Finally, it is concluded that such particular modified gravity can give us a more realistic and stable WH geometry.