Gravitational Decoupling in Higher Order Theories

Gravitational decoupling via the Minimal Geometric Deformation (MGD) approach has been used extensively in General Relativity (GR), mainly as a simple method for generating exact anisotropic solutions from perfect fluid seed solutions. Recently this also to generate spherically symmetric of Einstein-scalar system Schwarzschild vacuum metric. This was then investigate effect scalar fields on black hole solution. We show that can be extended higher order theories. In particular, we consider fourth Einstein–Weyl gravity, and case by using metric solution associated field equations, apply MGD theory representing hairy is expressed terms series Homotopy Analysis Method (HAM).