Maximal analytic extension and hidden symmetries of the dipole black ring

TY - JOUR

T1 - Maximal analytic extension and hidden symmetries of the dipole black ring

AU - Armas, Jácome Saldanha N de O B

PY - 2011/12/7

Y1 - 2011/12/7

N2 - We construct analytic extensions across the Killing horizons of non-extremal and extremal dipole black rings in EinsteinMaxwells 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 spacetime resembles that of the four-dimensional ReissnerNordström black hole. Furthermore, motivated by the physical interpretation of one of these extensions, we find a separable solution to the HamiltonJacobi equation corresponding to zero energy null geodesics and relate it to the existence of a conformal Killing tensor and a conformal KillingYano tensor in a specific dimensionally reduced spacetime.

AB - We construct analytic extensions across the Killing horizons of non-extremal and extremal dipole black rings in EinsteinMaxwells 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 spacetime resembles that of the four-dimensional ReissnerNordström black hole. Furthermore, motivated by the physical interpretation of one of these extensions, we find a separable solution to the HamiltonJacobi equation corresponding to zero energy null geodesics and relate it to the existence of a conformal Killing tensor and a conformal KillingYano tensor in a specific dimensionally reduced spacetime.

U2 - 10.1088/0264-9381/28/23/235014

DO - 10.1088/0264-9381/28/23/235014

M3 - Journal article

SN - 0264-9381

VL - 28

SP - 235014

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 23

ER -