This book introduces a Covariant Holographic Renormalization procedure of fake supergravity systems. Holography is a strong/weak coupling duality between gravitational and gauge theories, and fake supergravity is a theory of gravity coupled to scalars in which the scalar potential can be derived from a superpotential in some specific way. Other systematic methods of holographic renormalization of fake supergravity exist, but they are all restricted to spacetimes that are asymptotically anti-de Sitter (aAdS). According to the AdS/CFT correspondence, their dual quantum field theories are...