Rotating and charged Taub-NUT-(A)dS spacetimes on a 3-brane

We construct novel solutions to the effective Einstein equation with four dimensional cosmological constant on a 3-brane in Randall-Sundrum II scenario. The charged solution is obtained by assuming the existence of localized Maxwell fields on the 3-brane. Timelike and null circular geodesics in the neutral rotating braneworld spacetime with Newman-Unti-Tamburino parameter are discussed, and we find that such geodesics cannot occur on the equatorial plane. On nonequatorial planes, timelike circular geodesics can occur for the negative tidal charge, but we cannot find numerical results to support the existence of nonequatorial null circular geodesics.