Rotating black holes in a Randall-Sundrum brane with a cosmological   constant
  In this work we have constructed axially symmetric vacuum solutions of the gravitational field equations in a Randall-Sundrum brane. A non-null effective cosmological constant is considered, and asymptotically de Sitter and anti-de Sitter spacetimes are obtained. The solutions describe rotating black holes in a four-dimensional brane. Optical features of the solutions are treated, emphasizing the rotation of the polarization vector along null congruences. 
J. C. S. Neves and C. Molina
gr-qc astro-ph.CO hep-th