Unveiling gravitational lensing and wormhole shadows phenomena by quantum inspired exact wormholes in f(R,Lm,T) theory

This study explores traversable wormhole (WH) structures in [Formula: see text] gravity by taking Yukawa-corrected Casimir density and some well-motivated holographic dark energy models into account. The background matter is supposed to be of anisotropic nature and a linear Lagrangian function [Formula: see text] is implemented. Resulting field equations are then solved to establish the WH shape models analytically by considering a radial-dependent logarithmic redshift function. The presented WH functions are analyzed through different characteristics graphically to ensure their physical plausibility and further, their stability is revealed through adiabatic index, causality and Herrera’s cracking conditions, and modified TOV equation. Moreover, embedding diagrams are provided to visualize the shape of presented WH geometries. Next, we study the gravitational lensing phenomena by computing deflection angles of light rays in each case and discuss the resulting expressions graphically. Also, the shadows cast due to these WH structures are discussed through light rings in all cases. It is seen that the shadows cast by WHs are less sensitive to [Formula: see text] variations as compared to [Formula: see text] parameter. Also, the deflection angles can exhibit a positive or negative trend versus impact parameter but vanish as [Formula: see text] for all proposed WHs. Collectively, it can be concluded that presented WHs are stable, physically acceptable and promising.

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