Complete deformed charged anisotropic spherical solution satisfying Karmarkar condition

Abstract

The study of solution for the compact stellar objects such as neutron stars, white dwarfs, and black holes have attracted much consideration in recent days. To discuss this, we extended the charged perfect fluid solution into an anisotropic domain by using the extended gravitational decoupling approach. The charged perfect fluid solution is obtained through the Karmarkar condition by specifying a Finch–Skea spacetime geometry that helps us to determine the decoupling functions. The decoupling function for radial components is determined by using mimic constraint to the seed density while a particular well-behaved function is chosen for the temporal decoupling function. The interior solution is smoothly matched with exterior Reissner–Nordström solution. We found that the obtained charged anisotropic solution is well behaved. In particular, we also studied the impact of gravitational decoupling on pressure, density, mass function, and compactness factor. The detailed physical analysis has been performed via graphical analysis by taking one particular object SMC X-1. Moreover, we have also predicted the radii and compactness factor for 12 compact objects for different values of α. The predicted radii fall between 8 - 15 km.

Keywords

• Karmarkar condition
• Exact solutions
• Compact objects
• Gravitational decoupling