GUP corrected Casimir Wormholes with Electric Charge in $f(R,L_m)$ Gravity

Abstract

In this letter, we study and investigate the effects of the Generalised Uncertainty Principle (GUP) and electric charge on Casimir wormhole geometry in the Curvature-Lagrangian coupled $f(R,L_m)$ gravity. The functional form of the considered model is $f(R,L_m)=\frac{R}{2\kappa}+L_m^{\,\,\alpha}$, corresponding to it the analytic shape function is found. For our analysis, we study the wormhole spacetimes for three particular models for the redshift function. We observe that the null energy condition is violated despite a positive contribution from the electromagnetic energy density. We also note that electric charges, GUP effects, and higher model parameter values increase the throat length. Further, we have studied the deflection of light using the Gauss-Bonnet theorem, emphasizing the contribution from GUP by including higher-order terms.