Evolution of a Self-interacting Scalar Field in the spacetime of a   Higher Dimensional Black Hole
  In the spacetime of n-dimensional static charged black hole we examine the mechanism by which the self-interacting scalar hair decay. It is turned out that the intermediate asymptotic behaviour of the self-interacting scalar field is determined by an oscilatory inverse power law. We confirm our results by numerical calculations. 
Rafal Moderski, Marek Rogatko