Self-dual metrics with maximally superintegrable geodesic flows
General Relativity and Quantum Cosmology
2015-05-27 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.1504.03826,
title = {Self-dual metrics with maximally superintegrable geodesic flows},
author = {Sergei Filyukov and Anton Galajinsky},
journal= {arXiv preprint arXiv:1504.03826},
year = {2015}
}
Comments
V2: 11 pages, minor modifications