Isotropization of embedding Class I spacetime and anisotropic system generated by complexity factor in the framework of gravitational decoupling

In this work, we present a hierarchical solution-generating technique employing the Minimum Gravitational Decoupling (MGD) Method and the generalized concept of Complexity as applied to Class I spacetime for bounded compact objects in classical general relativity. Starting off with an anisotropic seed solution described by Class I spacetime, we apply the MGD technique with the constraint that the effective anisotropy vanishes which leads to an isotropic model. In addition, we produce a second family of solutions in which the Complexity factor [Herrera (Phys Rev D 97:044010, 2018)] for the seed solution and its MGD counterpart are the same. We discuss the physical plausibility of both classes of solutions as candidates for physically realizable compact objects.

Automated summary

In this research, a hierarchical solution-generating technique is proposed for bounded compact objects in classical general relativity. The Minimum Gravitational Decoupling (MGD) Method and the generalized concept of Complexity are employed to obtain two classes of solutions as candidates for physically realizable compact objects.