Role of gravitational decoupling on isotropization and complexity of self-gravitating system under complete geometric deformation approach

In the present paper, we discuss the role of gravitational decoupling to isotropize the anisotropic solution of Einstein's field equations in the context of the complete geometric deformation (CGD) approach and its influence on the complexity factor introduced by Herrera (Phys Rev D 97:044010, 2018) in the static self-gravitating system. Moreover, we proposed a simple and effective technique as well to generate new solutions for self-gravitating objects via CGD approach by using two systems with the same complexity factor and vanishing complexity factor proposed by Casadio et al. (Eur Phys J C 79:826, 2019). The effect of decoupling constant and the compactness on the complexity factor have also been analyzed for the obtained solutions.

Automated summary

In this paper, we discuss the role of gravitational decoupling in isotropizing the anisotropic solution of Einstein's field equations. We also analyze its influence on the complexity factor in static self-gravitating systems. Additionally, we propose a simple and effective technique to generate new solutions for self-gravitating objects using the complete geometric deformation approach.