TY - JOUR
T1 - Self-dual metrics with maximally superintegrable geodesic flows
AU - Filyukov, Sergei
AU - Galajinsky, Anton
PY - 2015/5/19
Y1 - 2015/5/19
N2 - 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.
AB - 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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U2 - 10.1103/PhysRevD.91.104020
DO - 10.1103/PhysRevD.91.104020
M3 - Article
AN - SCOPUS:84934878805
VL - 91
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 10
M1 - 104020
ER -