A compact stellar configuration via gravitation decoupling and minimal geometric deformation

Abstract

The present study reports an investigation of a minimally deformed solution from class one solution embedded into five-dimensional pseudo-Euclidean space, which is the four-dimensional space-time, through a gravitational decoupling approach. Applying the minimal geometric deformation approach, we have obtained the embedding class one solution to the field equation of the interior space-time. Furthermore, the study reported a reconstructed and deformed spherically symmetric metric by deriving a new set of solutions for the extra anisotropic source acting on the field equations. Furthermore, considering the impact of additional sources, the effective density and pressure in tangential and radial directions have been reconstructed in this study. Finally, the arbitrary constraints and required parameters have been evaluated for some realistic compact objects by applying some matching conditions. Alongside accessing the effective density and effective pressure, a causality analysis was conducted to reveal that the model is stable under the purview of the additional source. The study has observed that the stability and equilibrium of the system attain their maximum value around the center and maintain a positive level throughout the core of the star objects as a result of an increase in the anisotropic component. The mass-radius relationship and gravitational redshift have been assessed and confirm that the chosen compact objects are unique types of neutron stars and ultra compact objects for our model, and moment of inertia has been analyzed in this study.