Explorations in higher-derivative gravity: holography and astrophysics

Abstract

This thesis investigates the role of higher-derivative corrections in the gravity action across various scenarios. The first part focuses on the domain of holography, and in this context we propose a method for holographic renormalization valid for general theories in up to 5 dimensions. Subsequently, we employ the framework of AdS/CFT to examine the effect of cubic-curvature terms in a system known as the holographic superconductor. Besides the curvature tensors, it is possible to construct corrections with contractions of other fields. In particular, we consider theories that are dual to a CFT with a non-minimally coupled chemical potential. Finally, the thesis transitions into the field of astrophysics, and we study the impact of higher-curvature terms in processes of accretion of matter by black holes.