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Physical interpretation of some stationary and non-stationary regions of thespinning C-metric is presented. They represent different spacetime regions of auniformly accelerated Kerr black hole.  Stability of geodesics corresponding to equilibrium points in a generalstationary spacetime with an additional symmetry is also studied and resultsare then applied to the spinning C-metric.Comment: 12 pages, 7 figures, RevTeX

ON THE SPINNING C-METRIC