Vaidya-Tikekar type anisotropic fluid model by gravitational decoupling

In this paper, a new interior solution for compact objects has been obtained using the minimal geometric deformation (MGD) approach along with the embedding Class I condition. Using MGD, the original system gets split into two parts, one of them is called the Einstein system and another one is the quasi-Einstein system for the extra source theta(gamma)(alpha)(r). The Einstein system is solved by using the Vaidya-Tikekar metric along with the Class I condition, while for the quasi-Einstein system, the mimic approach for density constraint has been used such that (rho) over cap (r) = theta(0)(0) (r). A detailed physical analysis has been done as well as the physical viability of the model in terms of the thermodynamical variables, and different stability factors are also tested. Furthermore, the mass-radius ratio is also calculated for 12 different stars for different values of the decoupling constant beta which determines how the gravitational decoupling influences the compactness.