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

TL;DR

This paper explores how gravitational decoupling affects isotropization and complexity in static self-gravitating systems using the complete geometric deformation approach, introducing new solution generation techniques and analyzing key parameters.

Contribution

It presents a novel application of gravitational decoupling within the CGD approach to generate solutions and analyze complexity in self-gravitating systems.

Findings

Decoupling constant influences the complexity factor.

New solutions with same or vanishing complexity factors are constructed.

Compactness impacts the complexity and isotropization process.

Abstract

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 L. Herrera (Phys. Rev. D 97, 044010 (2018)) in the static self-gravitating system. Moreover, we also proposed a simple and effective technique 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 been also analyzed for the obtained solutions.