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arXiv · 1504.03826

Self-dual metrics with maximally superintegrable geodesic flows

Sergei Filyukov·Anton Galajinsky
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Abstract

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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BibTeXRIS

Sergei Filyukov, Anton Galajinsky. 2015-04-20. Self-dual metrics with maximally superintegrable geodesic flows. https://doi.org/10.1103/physrevd.91.104020

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