Existence of class-I dark energy stellar models

We study the concept of a dark energy star, which is assumed to be composed of both dark and conventional matter in a modified teleparallel gravity. After employing a specific viable stellar model, we build the corresponding equations of motion that govern our further analysis. We then calculate the analytical form of the spherical geometric function, accompanied by an embedding class I choice, which states that the 4-dimensional geometry can be placed in a 5-dimensional planar space. With the help of a specific dark energy state equation, we model our system to investigate the role of dark energy on key stellar characteristics, such as equilibrium, star mass, and compactness, among other aspects, in the presence of torsion terms. This will lead us to investigate the stable epochs of the corresponding stellar structure through parameters such as pressure, mass function, density, and surface redshift, among others. We will then calculate the maximum allowable stellar matter quantity by utilizing the M-R diagram. It is inferred that, under certain parametric geometric zones, torsion-based correction supports a realistic and singularity-free star model. The system is seen to obey all energy conditions and stability criteria proposed by some theoretical backgrounds.