Order rho^2 Corrections to Cosmology with Two Branes
  We present the results of work in which we derived the order rho^2 corrections to the Friedmann equations in the Randall-Sundrum I model. The effects of Golberger-Wise stabilization are taken into account. We surprisingly find that in the cases of inflation and radiation domination, the leading corrections on a given brane come exclusively from the effects of energy density located on the opposite brane. 
James M. Cline and J\'er\'emie Vinet