Self-dual metrics with maximally superintegrable geodesic flows

Sergei Filyukov, Anton Galajinsky

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4 Citations (Scopus)


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.

Original languageEnglish
Article number104020
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number10
Publication statusPublished - 19 May 2015


ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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