Remarkable symmetries of rotating black hole spacetimes
by
David Kubiznak(Charles U., Inst. Theor. Phys. and Waterloo U.)
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Asia/Seoul
CTPU Seminar room
CTPU Seminar room
Description
It is well known that Kerr geometry admits a non-trivial Killing tensor and its `square root' known as the Killing-Yano tensor. Together they give rise to Carter's constant for geodesics as well as allow for separability of test field equations in this background. The situation is even more remarkable in higher dimensions, where a single object -- the principal Killing-Yano tensor -- generates a tower of explicit and hidden symmetries responsible for integrability of geodesics and separability of test fields around higher-dimensional rotating black holes. Interestingly, similar yet different structure is already present for the slowly rotating black holes described by the `magic square' version of the Lense-Thirring solution, giving rise to a geometrically preferred spacetime that can be cast in the Painleve-Gullstrand form and admits a tower of exact rank-2 and higher rank Killing tensors whose number rapidly grows with the number of spacetime dimensions.
