### Abstract

Ricci-flat metrics of the ultrahyperbolic signature which enjoy the l-conformal Galilei symmetry are constructed. They involve the AdS_{2}-metric in a way similar to the near horizon black hole geometries. The associated geodesic equations are shown to describe a second order dynamical system for which the acceleration generators are functionally independent.

Original language | English |
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Pages (from-to) | 249-253 |

Number of pages | 5 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 754 |

DOIs | |

Publication status | Published - 10 Mar 2016 |

### Fingerprint

### Keywords

- Conformal Galilei algebra
- Ricci-flat metrics

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**Ricci-flat spacetimes with l-conformal Galilei symmetry.** / Chernyavsky, D.; Galajinsky, A.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Ricci-flat spacetimes with l-conformal Galilei symmetry

AU - Chernyavsky, D.

AU - Galajinsky, A.

PY - 2016/3/10

Y1 - 2016/3/10

N2 - Ricci-flat metrics of the ultrahyperbolic signature which enjoy the l-conformal Galilei symmetry are constructed. They involve the AdS2-metric in a way similar to the near horizon black hole geometries. The associated geodesic equations are shown to describe a second order dynamical system for which the acceleration generators are functionally independent.

AB - Ricci-flat metrics of the ultrahyperbolic signature which enjoy the l-conformal Galilei symmetry are constructed. They involve the AdS2-metric in a way similar to the near horizon black hole geometries. The associated geodesic equations are shown to describe a second order dynamical system for which the acceleration generators are functionally independent.

KW - Conformal Galilei algebra

KW - Ricci-flat metrics

UR - http://www.scopus.com/inward/record.url?scp=84955327374&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84955327374&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2016.01.042

DO - 10.1016/j.physletb.2016.01.042

M3 - Article

VL - 754

SP - 249

EP - 253

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

ER -