https://doi.org/10.1140/epjp/s13360-022-03511-y
Regular Article
Isotropization and complexity analysis of decoupled solutions in 
theory
1
Department of Mathematics and Statistics, The University of Lahore, 1-KM Defence Road, Lahore, Pakistan
2
Department of Mathematics, University of the Punjab, Quaid-i-Azam Campus, 54590, Lahore, Pakistan
Received:
28
July
2022
Accepted:
17
November
2022
Published online:
2
December
2022
This paper formulates some new exact solutions to the field equations by means of minimal gravitational decoupling in the context of gravity. For this purpose, we consider anisotropic spherical matter distribution and add an extra source to extend the existing solutions. We apply the transformation only on the radial metric potential that results in two different sets of the modified field equations, each of them corresponding to their parent source. The initial anisotropic source is represented by the first set, and we consider two different well-behaved solutions to close that system. On the other hand, we impose constraints on the additional source to make the second set solvable. We, firstly, employ the isotropization condition which leads to an isotropic system for a particular value of the decoupling parameter. We then use the condition of zero complexity of the total configuration to obtain the other solution. The unknowns are determined by smoothly matching the interior and exterior spacetimes at the hypersurface. The physical viability and stability of the obtained solutions are analyzed by using the mass and radius of a compact star 
. It is concluded that both of our extended solutions meet all the physical requirements for considered values of the coupling/decoupling parameters.
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