A varying gravitational constant map in asymptotically AdS black hole thermodynamics

We propose a sequence of steps and a generic transformation for connecting common thermodynamic quantities considered in asymptotically anti-de Sitter black hole thermodynamics in the bulk and those that are appropriate for CFT thermodynamics in the boundary. We do this by constructing a “varying-$G$ map”, where $G$ is the gravitational constant, and demonstrate its usefulness by considering various examples.