Imprints of teleparallelism-based gravity theory on compact stellar solutions admitting embedding class-one and Finch-Skea spacetimes

In the context of Rastall teleparallel gravity, this study investigates two stellar structures admitting particular spacetimes under the assumption of anisotropic fluid distribution. We begin our analysis with the consideration of a static sphere and derived modified version of the gravitational equations which are observed to be a non-linear under-determined system. To find their unique solution, we use two different spacetimes, namely the Finch-skea ansatz and the Karmarkar condition where one metric function is substituted to determine the other component. Under these spacetimes, the field equations become easily solvable. The constants associated with these solutions are then calculated using the boundary conditions. Afterwards, the resulting models are checked graphically under seven distinct star pulsars whose observed data is collected from the literature. Under specific parametric values, our results show that both stellar solutions are in good alignment with the physically existing criteria.