Physically viable solutions of anisotropic hybrid stars in f (T) gravity: an embedding approach

In this study, we explore the structure of a hybrid neutron stars composed of normal and strange quark matter distribution within the realm of f (T) gravity by employing a non-diagonal tetrad. For this purpose, we consider the static spherically symmetric spacetime with anisotropic fluid distribution. We choose a specific model of metric function, to describe a new family of solutions which satisfies the Karmarkar condition. We consider the linear form of f (T) (i.e., f (T) = tau T-2 + tau(1)) gravity model, where tau(1) and tau(2) are the coupling parameters, respectively. Further, we investigate the interior solutions for two different models of compact stars namely Her X-1 and 4U 1538 52 respectively. It is determined via contour plots that the coupling parameter tau(2) affects the hydrostatic parameters. Furthermore, we accomplish several physical tests to ensure the feasibility of the proposed model through graphical illustration. We perform different physical tests like energy density and pressure components, stability and equilibrium condition, energy constraints, adiabatic index, mass function, compactness factor and surface redshift to check the viability of f (T) gravity model. All these physical attributes indicate the consistent behavior of our model. Our investigation also suggests that f (T) theory of gravity appears as a suitable theory in describing the viability of a new classification of embedded class-I solutions of hybrid compact objects.