Minimally deformed Schwarzschild black hole in Rastall gravity.

In this paper, we extend the vacuum Schwarzschild solution to obtain new black hole solutions within the framework of the Rastall theory of gravity using minimal gravitational decoupling technique. Through the addition of an extra source which induces anisotropy in static spherically symmetric configuration, the field equations are obtained which are then decomposed into two simpler arrays by virtue of a deformation strictly on the radial metric component. The first of these sets corresponds to the seed source (which we take as the vacuum) and is specified by the metric components of the Schwarzschild spacetime. For the second set, a solution is determined by imposing a constraint on the anisotropic extra source via a linear equation of state. For specified values of the Rastall and decoupling parameters, two extended solutions are obtained. The nature of the matter that constitutes the extra source is investigated through the energy conditions. We also study the asymptotic behavior of both solutions by analyzing the deformed radial metric component. It turns out that the additional source in both solutions is exotic due to the violation of the dominant energy conditions. The asymptotic flatness is preserved only for the solution corresponding to the conformally symmetric extra source. [ABSTRACT FROM AUTHOR]