Removal of conical singularities from rotating C-metrics and dual CFT entropy

We show how to remove from the rotating C-metric spacetime, which describes accelerating Kerr black holes, both conical singularities. This can be done by embedding metric into a swirling gravitational universe, through proper Ehlers transformation. The spin-spin interaction between external rotational background and hole provides source of acceleration without need rods or strings. physical properties entropy new solution are studied using near horizon dual conformal techniques Kerr/CFT correspondence. charged case is also analysed: Accelerating Reissner-Nordstrom Kerr-Newman space-times embedded in universe generated.