Self-dual metrics with maximally superintegrable geodesic flows

Sergei Filyukov, Anton Galajinsky

Research output: Contribution to journalArticle

4 Citations (Scopus)

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 languageEnglish
Article number104020
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume91
Issue number10
DOIs
Publication statusPublished - 19 May 2015

Fingerprint

signatures
tensors

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 journalArticle

@article{887ccb58033447a183af6a949f4f9d9e,
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",
month = "5",
day = "19",
doi = "10.1103/PhysRevD.91.104020",
language = "English",
volume = "91",
journal = "Physical review D: Particles and fields",
issn = "1550-7998",
publisher = "American Institute of Physics Publising LLC",
number = "10",

}

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.

UR - http://www.scopus.com/inward/record.url?scp=84934878805&partnerID=8YFLogxK

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

VL - 91

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 10

M1 - 104020

ER -