https://doi.org/10.1140/epjc/s10052-023-12358-1
Regular Article - Theoretical Physics
Isotropization and complexity shift of gravitationally decoupled charged anisotropic sources
1
Department of Mathematics, College of Science, University of Ha’il, Ha’il, Kingdom of Saudi Arabia
2
Department of Mathematics, University of the Punjab, Quaid-i-Azam Campus, 54590, Lahore, Pakistan
Received:
15
November
2023
Accepted:
13
December
2023
Published online:
5
January
2024
This article focuses on investigating the role of decoupling in isotropizing anisotropic, self-gravitational charged sources with spherical symmetry through a well-known gravitational technique, known as minimal geometric deformation (MGD). This technique separates the given system into two gravitational systems: the Einstein-Maxwell system and the gravitational system governed by additional source. We employ novel approaches, including the zero complexity factor and isotropization techniques, to construct various charged compact star models using the Tolman IV as the seed source within the framework of the MGD scheme. The term complexity factor emerges as one of the structure-defining scalar quantities resulting from the orthogonal splitting of the Riemann–Christoffel curvature tensor, as proposed by Herrera (Phys Rev D 97(4):044010, 2018). This scalar function, denoted as 
, is associated with the fundamental structural characteristics of self-gravitational compact configurations. Our approach is innovative in that it derives the deformation functions by imposing the requirement of 
and employs isotropization techniques for electrically charged anisotropic configurations.
© The Author(s) 2024
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