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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title = "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.",

author = "Sergei Filyukov and Anton Galajinsky",

year = "2015",

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doi = "10.1103/PhysRevD.91.104020",

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