Abstract
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.
| Original language | English |
|---|---|
| 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 |
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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.
In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 754, 10.03.2016, p. 249-253.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 -