Geometric structures of Morris-Thorne wormhole metric in f(R, L m ) gravity and energy conditions

The aim of this manuscript is to study the traversable wormhole (WH) geometries in the curvature matter coupling gravity. Weinvestigate static spherically symmetric Morris-ThorneWHswithin the context of f (R, L-m) gravity. To accomplish this, we examine theWHmodel in four different cases (i) linear f (R, L-m) model, f (R, L-m) = alpha R + beta Lm with anisotropicmatter distribution having the relation p(r)= mp(t) (ii) linear f (R, L-m) model having anisotropicmatter distribution alongwith the equation of state parameter, pr=omega rho, (iii) non-linearmodel f (R, L-m) = 1/2R + L-m(eta) with specific formof energy density and (iv) non-linear f (R, L-m) model, f (R, L-m) = 1/2R + (1 + xi R) L-m with isotropic matter distribution and having the linear relation between pressure and energy density, p=omega rho. Additionally, in the latter case, we consider a specific power-law shape function b(r) = r(0) (r(0)/r)(n). Furthermore, we analyze the energy conditions for eachWHmodel to verify their physical viability. As a novel outcome, we can see the validation of the null energy condition for the f (R, L-m) model that suggests ruling out the necessity of exoticmatter for the traversability of the WH. At last, an embedding diagram for each model is illustrated that describes theWH geometry.