Maximal Analytic Extension and Hidden Symmetries of the Dipole Black Ring

Details Maximal Analytic Extension and Hidden Symmetries of the Dipole Black Ring Maximal Analytic Extension and Hidden Symmetries of the Dipole Black Ring

2010-11-25

arxiv.org/abs/1011.5618v2

Physics

High Energy Physics

High Energy Physics - Theory

v1: 36 pages, 2 figures. v2: minor corrections, typos fixed, submitted to Class. Quant. Grav

Scientific paper

We construct analytic extensions across the Killing horizons of non-extremal and extremal dipole black rings in Einstein-Maxwell's theory using different methods. We show that these extensions are non-globally hyperbolic, have multiple asymptotically flat regions and in the non-extremal case, are also maximal and timelike complete. Moreover, we find that in both cases the causal structure of the maximally extended space-time resembles that of the 4-dimensional Reissner-Nordstr\"om black hole. Furthermore, motivated by the physical interpretation of one of these extensions, we find a separable solution to the Hamilton-Jacobi equation corresponding to zero energy null geodesics and relate it to the existence of a conformal Killing tensor and a conformal Killing-Yano tensor in a specific dimensionally reduced space-time.

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