%0 Journal Article %1 Armas2010Maximal %A Armas, Jay %D 2010 %K arxiv, blackring %T Maximal Analytic Extension and Hidden Symmetries of the Dipole Black Ring %U http://arxiv.org/abs/1011.5618 %X 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-Nordström 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.

@article{Armas2010Maximal, abstract = {{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.}}, added-at = {2019-02-26T10:37:35.000+0100}, archiveprefix = {arXiv}, author = {Armas, Jay}, biburl = {https://www.bibsonomy.org/bibtex/22729d99c42afadaf4148e19c38b6ce0f/acastro}, citeulike-article-id = {8317500}, citeulike-linkout-0 = {http://arxiv.org/abs/1011.5618}, citeulike-linkout-1 = {http://arxiv.org/pdf/1011.5618}, day = 25, eprint = {1011.5618}, interhash = {4b1ee988cd207321a985a9556e0ce201}, intrahash = {2729d99c42afadaf4148e19c38b6ce0f}, keywords = {arxiv, blackring}, month = nov, posted-at = {2010-11-29 04:16:48}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {{Maximal Analytic Extension and Hidden Symmetries of the Dipole Black Ring}}, url = {http://arxiv.org/abs/1011.5618}, year = 2010 }