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We construct analytic extensions across the Killing horizons of non-extremaland extremal dipole black rings in Einstein-Maxwell's theory using differentmethods. We show that these extensions are non-globally hyperbolic, havemultiple asymptotically flat regions and in the non-extremal case, are alsomaximal and timelike complete. Moreover, we find that in both cases the causalstructure of the maximally extended space-time resembles that of the4-dimensional Reissner-Nordstr\"om black hole. Furthermore, motivated by thephysical interpretation of one of these extensions, we find a separablesolution to the Hamilton-Jacobi equation corresponding to zero energy nullgeodesics and relate it to the existence of a conformal Killing tensor and aconformal Killing-Yano tensor in a specific dimensionally reduced space-time.

Maximal Analytic Extension and Hidden Symmetries of the Dipole Black Ring