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Self-dual metrics with maximally superintegrable geodesic flows
classification
🌀 gr-qc
hep-thmath-phmath.MPnlin.SI
keywords
flowsgeodesicsuperintegrablekillingmaximallyranksecondself-dual
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A class of self-dual and geodesically complete spacetimes with maximally superintegrable geodesic flows is constructed by applying the Eisenhart lift to mechanics in pseudo-Euclidean spacetime of signature (1,1). It is characterized by the presence of a second rank Killing tensor. Spacetimes of the ultrahyperbolic signature (2,q) with q > 2, which admit a second rank Killing tensor and possess superintegrable geodesic flows, are built.
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Forward citations
Cited by 1 Pith paper
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The Bohlin variant of the Eisenhart lift
The Bohlin variant of the Eisenhart lift embeds Lagrangian systems into timelike geodesics of conformally flat (d+2)-dimensional metrics and yields novel examples of such metrics admitting higher-rank Killing tensors.
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