Exploring Wormhole Structures within the Framework of $f(R,L_{m})$ Gravity

Abstract

In this work, we investigate wormhole geometries within the framework of $f(R,\mathcal{L}_{m})$ gravity by considering a specific form of the model. From the corresponding field equations, the shape function is derived, and the traversability conditions are examined for suitable choices of the model parameters. The obtained shape function is shown to satisfy all the necessary requirements for a traversable wormhole, including the energy conditions. The geometric properties of the wormhole are analyzed in detail, and particular attention is given to the requirement that the proper radial distance $l(r)$ remains finite throughout the space-time, thereby ensuring the consistency of the geometry.