Abstract
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.
Highlights
-CDM cosmological model seems to be a strong candidate which can account for present-day observations via the Planck Collaboration of Age, mass density and the Hubble constant within experimental error
We have investigated a new isotropic Class I solution in the framework of gravitational decoupling through using a minimal geometric deformation approach
We can say that the minimal geometric deformation (MGD) approach has equipped us with a novel method to generate new physically viable Class I isotropic solutions
Summary
-CDM cosmological model seems to be a strong candidate which can account for present-day observations via the Planck Collaboration of Age, mass density and the Hubble constant within experimental error. There has been heightened interest in the concept of complexity in self-gravitating systems, an idea largely explored by Herrera and co-workers for static and dynamical systems [54–56] They proposed a definition of the so-called complexity factor arising from the orthogonal splitting of the Riemann tensor which gives rise to scalar structures. These scalars inherently link the local anisotropy of the transverse and radial stresses and density inhomogeneity to the Tolman mass for a static, bounded stellar configuration. As mentioned earlier gravitational decoupling method facilitates the anisotropisation of isotropic seed solutions describing bounded configurations in GTR and modified gravity theories.
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