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 | |
| Publication status | Published - 19 May 2015 |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Self-dual metrics with maximally superintegrable geodesic flows. / Filyukov, Sergei; Galajinsky, Anton.
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 91, No. 10, 104020, 19.05.2015.Research output: Contribution to journal › Article
}
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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UR - http://www.scopus.com/inward/citedby.url?scp=84934878805&partnerID=8YFLogxK
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 -