Some Specific Wormhole Solutions in Extended $f(R,G,T)$ Gravity

TL;DR

This paper investigates the existence of wormhole solutions within the extended $f(R,G,T)$ gravity framework, demonstrating that such structures can exist without exotic matter under certain conditions.

Contribution

It introduces a specific $f(R,G,T)$ model and analyzes wormhole geometries with matter distributions, showing how modified gravity allows wormholes without exotic matter.

Findings

Wormholes can exist without exotic matter in specific parametric regions.

Modified gravity terms generate curvature effects supporting wormhole stability.

Numerical analysis confirms the viability of wormholes in the proposed model.

Abstract

This research work provides an exhaustive investigation of the viability of different coupled wormhole (WH) geometries with the relativistic matter configurations in the $f(R,G,T)$ extended gravity framework. We consider a specific model in the context of $f(R,G,T)$-gravity for this purpose. Also, we assume a static spherically symmetric space-time geometry and a unique distribution of matter with a set of shape functions ($\beta(r)$) for analyzing different energy conditions (ECs). In addition to this, we examined WH-models in the equilibrium scenario by employing anisotropic fluid. The corresponding results are obtained using numerical methods and then presented using different plots. In this case, $f(R,G,T)$ gravity generates additional curvature quantities, which can be thought of as gravitational objects that maintain irregular WH-situations. Based on our findings, we conclude that in the absence of exotic matter, WH can exist in some specific regions of the parametric space using modified gravity model as, $f(R,G,T) = R +\alpha R^2+\beta G^n+\gamma G\ln(G)+\lambda T$.