Lagrangian Brane Dynamics in General Relativity and   Einstein-Gauss-Bonnet Gravity
  This paper gives a new, simple and concise derivation of brane actions and brane dynamics in general relativity and in Einstein-Gauss-Bonnet gravity. We present a unified treatment, applicable to timelike surface layers and spacelike transition layers, and including consideration of the more difficult lightlike case. 
Claude Barrabes and Werner Israel