This work investigates the subject of wormholes with spherical symmetry in a recently proposed curvature-based gravitational framework, namely the ℱ(R, L m , T) theory. This framework has gained much popularity due to its promising feature of direct/indirect matter and curvature interaction. As a first case, we assume the background matter as anisotropic fluid along with a particular wormhole shape model and perform the graphical analysis of the respective energy constraints. This graphical examination is conducted by considering two choices of redshift function: constant and variable radial-dependent forms. Possible constraints on the model parameters are then listed, which refer to the validity of energy bounds. Further, by taking isotropic fluid and a specific EoS parameter as separate cases, the form of the wormhole shape function is computed for both constant and variable redshifts. To comprehend the proposed wormhole geometries, basic axioms regarding wormhole shape models are verified for each case. Further, some crucial measures like complexity factor, total and active gravitational energies, and volume integral quantifier are examined graphically and the 2D as well as 3D embedding visualizations are also provided. Lastly, to reveal the stability of these solutions, we examine the behavior of TOV forces, adiabatic index and speed of sound parameters graphically. It is found that wormhole solution corresponding to isotropic fluid does not satisfy the basic wormhole criteria while the solutions, in other two cases, exhibit valid and physically stable behavior.
Ahmad et al. (Thu,) studied this question.