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We construct novel solutions to the effective Einstein equation with fourdimensional cosmological constant on a 3-brane in Randall-Sundrum II scenario.The charged solution is obtained by assuming the existence of localized Maxwellfields on the 3-brane. Timelike and null circular geodesics in the neutralrotating braneworld spacetime with NUT parameter are discussed, and we findthat such geodesics cannot occur on the equatorial plane. On non-equatorialplanes, timelike circular geodesics can occur for the negative tidal charge,but we cannot find numerical results to support the existence of non-equatorialnull circular geodesics.

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