Leading order corrections to the cosmological evolution of tensor   perturbations in braneworld (Short version)
  Tensor perturbations in an expanding braneworld of the Randall Sundrum type are investigated. We consider a model composed of a slow-roll inflation phase and the succeeding radiation phase. The effect of the presence of an extra dimension through the transition to the radiation phase is studied, giving an analytic formula for leading order corrections. 
Tsutomu Kobayashi and Takahiro Tanaka