Randall-Sundrum brane-world in modified gravity
  We modify Randall-Sundrum model of brane-world (with two branes) by adding the scalar curvature squared term in five dimensions. We find that it does not destabilize Randall-Sundrum solution to the hierarchy problem of the Standard Model in particle physics. 
Hiroshi Nakada and Sergei V. Ketov
hep-th gr-qc hep-ph