Minimal Geometric Deformation in a Reissner-Nordstr\"om background

Understand

This article is devoted to the study of new exact analytical solutions in the background of Reissner-Nordstr\"{o}m space-time by using gravitational decoupling via minimal geometric deformation approach.

• To do so, we impose the most general equation of state, relating the components of the $\theta$-sector in order to obtain the new material contributions and the decoupler function $f(r)$.
• Besides, we obtain the bounds on the free parameters of the extended solution to avoid new singularities.
• Furthermore, we show the finitude of all thermodynamic parameters of the solution such as the effective density $\tilde{\rho}$, radial $\tilde{p}_{r}$ and tangential $\tilde{p}_{t}$ pressure for different values of parameter $\alpha$ and the total electric charge $Q$.