Gravity and Large Black Holes in Randall-Sundrum II Braneworlds

We show how to construct low energy solutions to the Randall-Sundrum II (RSII) model by using an associated five-dimensional anti--de Sitter space (AdS₅) and/or four-dimensional conformal field theory (CFT₄) problem. The RSII solution is given as a perturbation of the AdS₅-CFT₄ solution, with the perturbation parameter being the radius of curvature of the brane metric compared to the AdS length . The brane metric is then a specific perturbation of the AdS₅-CFT₄ boundary metric. For low curvatures the RSII solution reproduces 4D general relativity on the brane. Recently, AdS₅-CFT₄ solutions with a 4D Schwarzschild boundary metric were numerically constructed. We modify the boundary conditions to numerically construct large RSII static black holes with radius up to ~20. For a large radius, the RSII solutions are indeed close to the associated AdS₅-CFT₄ solution.