Static traversable wormhole solutions in $f(R,L_m)$ gravity

TL;DR

This paper derives new static traversable wormhole solutions within the $f(R,L_m)$ gravity framework, analyzing their physical properties and energy conditions using anisotropic and isotropic matter distributions.

Contribution

It introduces novel wormhole solutions in $f(R,L_m)$ gravity with detailed analysis of matter content and energy conditions, expanding understanding of exotic matter in modified gravity.

Findings

Shape functions satisfy wormhole conditions

Energy conditions analyzed for matter content

Exotic matter features discussed

Abstract

In this study, we explore the new wormhole solutions in the framework of new modified $f(R,L_m)$ gravity. To obtain a characteristic wormhole solution, we use anisotropic matter distribution and a specific form of energy density. As second adopt the isotropic case with a linear EoS relation as a general technique for the system and discuss several physical attributes of the system under the wormhole geometry. Detailed analytical and graphical discussion about the matter contents via energy conditions is discussed. In both cases, the shape function of wormhole geometry satisfies the required conditions. Several interesting points have evolved from the entire investigation along with the features of the exotic matter within the wormhole geometry. Finally, we have concluding remarks.