Compact Objects by Extended Gravitational Decoupling in f(G,T) Gravity

TL;DR

This paper explores anisotropic stellar solutions in extended f(G,T) gravity using gravitational decoupling, demonstrating their stability and viability through energy and stability analyses.

Contribution

It introduces a novel application of extended gravitational decoupling to f(G,T) gravity for constructing stable anisotropic solutions.

Findings

Solutions are stable under energy and stability criteria.

Decoupling parameter influences matter variables and anisotropy.

Constructed models are viable across the entire coupling parameter domain.

Abstract

In this paper, we investigate the anisotropic interior spherically symmetric solutions by utilizing the extended gravitational decoupling method in the background of $f(G,T)$ gravity, where $G$ and $T$ signify the Gauss-Bonnet term and trace of the stress-energy tensor, respectively. The anisotropy in the interior geometry arises with the inclusion of an additional source in the isotropic configuration. In this technique, the temporal and radial potentials are decoupled which split the field equations into two independent sets. Both sets individually represent the isotropic and anisotropic configurations, respectively. The solution corresponding to the first set is determined by using the Krori-Barua metric potentials whereas the second set contains unknown which are solved with the help of some constraints. The ultimate anisotropic results are evaluated by combining the solutions of both distributions. The influence of decoupling parameter is examined on the matter variables as well as anisotropic factor. We illustrate the viable and stable features of the constructed solutions by using energy constraints and three stability criteria, respectively. Finally, we conclude that the obtained solutions are viable as well as stable for the whole domain of the coupling parameter.