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We provide the most general embedding of a purely tensional 2-brane in a 3+1dimensional bulk described by the AdS C-metric. The AdS C-metric has been firstconsidered as bulk metric by Emparan, Horowitz and Myers (hep-th/9911043 andhep-th/9912135), who have found metrics describing a brane localized blackhole. In those papers, one of the parameters of the bulk C-metric wasfine-tuned to the brane tension. We relax this fine tuning and we find two newclasses of solutions, the first describing a time dependent, rotationallysymmetric metric, the second describing accelerated black holes on the brane.This is the first exact solution on the brane describing two objects ininteraction. We discuss the qualitative CFT interpretation of these solutions.

New exact solutions on the Randall-Sundrum 2-brane: lumps of dark radiation and accelerated black holes