Charged anisotropic solutions through decoupling in f(G,T) gravity

Abstract

This paper formulates two charged interior anisotropic spherical solutions through extended gravitational decoupling scheme in the context of [Formula: see text] theory, where [Formula: see text] and [Formula: see text] symbolize the Gauss–Bonnet term and trace of the stress–energy tensor, respectively. The inclusion of an extra sector in the isotropic domain results in the production of anisotropy in the inner geometry. This technique splits the field equations into two independent arrays by deforming the temporal and radial metric coefficients, giving rise to the seed and extra fluid distributions, respectively. The Krori–Barua metric potentials are used to calculate solution of the first set, while some constraints are used to solve the unknowns present in the second array. The resulting anisotropic solution is a combination of both the obtained solutions. We inspect the influence of charge as well as decoupling parameter on the physical variables and anisotropic factor. Finally, the viability and stability of the developed solutions are checked by energy conditions and stability criteria, respectively. We conclude that the first solution is viable as well as stable for the particular range of the decoupling parameter, whereas the second solution is viable but not stable.