A new metric for rotating black holes in Gauss-Bonnet gravity
  This paper presents a new metric and studies slowly rotating Gauss-Bonnet black holes with one nonvanishing angular momentum in five dimensional anti-de Sitter spaces. Taking the angular momentum parameter $a$ up to second order, the slowly rotating black hole solutions are obtained by working directly in the action. In addition, it also finds that this method is applicable in higher order Lovelock gravity. 
Rui-Hong Yue, De-Cheng Zou, Tian-Yi Yu and Zhan-Ying Yang
gr-qc hep-th