Low energy effective theory for two branes system
  We derive the low energy effective theory for two branes system solving the bulk geometry formally in the covariant curvature formalism developed by Shiromizu, Maeda and Sasaki. As expected, the effective theory looks like a Einstein-scalar system. Using this theory we can discuss the cosmology and non-linear gravity at low energy scales. 
Tetsuya Shiromizu, Kazuya Koyama