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Abstract In this article, we have presented a static anisotropic solution of stellar compact objects for self-gravitating system by using minimal geometric deformation techniques in the framework of embedding class one space-time. For solving of this coupling system, we deform this system into two separate system through the geometric deformation of radial components for the source function (r) λ (r) by mapping: e^- (r) e^- (r) + \, g (r) e-λ (r) →e-λ~ (r) +βg (r), where g (r) is deformation function. The first system corresponds to Einstein’s system which is solved by taking a particular generalized form for source function (r) λ~ (r) while another system is solved by choosing well-behaved deformation function g (r). To test the physical viability of this solution, we find complete thermodynamical observable as pressure, density, velocity, and equilibrium condition via. TOV equation etc. In addition to the above, we have also obtained the moment of inertia (I), Kepler frequency (v), compression modulus (Kₑ Ke) and stability for this coupling system. The M – R curve has been presented for obtaining the maximum mass and corresponding radius of the compact objects.
Singh et al. (Tue,) studied this question.