A comparative study on generalized model of anisotropic compact star satisfying the Karmarkar condition

Abstract

A new solution satisfying the Karmarkar condition is presented here. We were first to have discovered a hypergeometric function metric potential representing embedding class I spacetime. This new solution yields finite values of metric potentials, density, pressure, redshift, etc. and hence a non-singular solution. The solution is well behaved with respect to the parameter n= 12 to n= 24 corresponding to a stable configuration of mass 2.01 M⊙ and radius 9.1 km. The internal properties of the solution are very different for n= 12 to n= 24 ; however, the total mass and radius is independent of the parameter n. The energy conditions are also holds good by the solution which thus can represent a physically viable matter distribution. The equilibrium condition and stability are also discussed through TOV-equation, cracking method and Γ > 4 / 3. The static stability criterion is also well satisfied and the turning point corresponds to 4.46 M⊙ for a radius of 9.1 km.