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

TL;DR

This paper explores how GUP and electric charge influence Casimir wormholes within $f(R,L_m)$ gravity, revealing effects on energy conditions, throat length, and light deflection, with implications for quantum gravity and astrophysics.

Contribution

It introduces a novel analysis of GUP and electric charge effects on Casimir wormholes in $f(R,L_m)$ gravity, including shape function derivation and light deflection study.

Findings

Null energy condition is violated despite positive electromagnetic energy density.

Electric charge, GUP effects, and model parameters increase wormhole throat length.

GUP influences light deflection through higher-order terms in the Gauss-Bonnet theorem.

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.