Self-dual metrics with maximally superintegrable geodesic flows

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.

Original language	English
Article number	104020
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	91
Issue number	10
DOIs	https://doi.org/10.1103/PhysRevD.91.104020
Publication status	Published - 19 May 2015

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1103/PhysRevD.91.104020

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Filyukov, S., & Galajinsky, A. (2015). Self-dual metrics with maximally superintegrable geodesic flows. Physical Review D - Particles, Fields, Gravitation and Cosmology, 91(10), [104020]. https://doi.org/10.1103/PhysRevD.91.104020

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