Ricci-flat spacetimes with l-conformal Galilei symmetry

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	https://doi.org/10.1016/j.physletb.2016.01.042
Publication status	Published - 10 Mar 2016

Keywords

Conformal Galilei algebra
Ricci-flat metrics

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.physletb.2016.01.042

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Chernyavsky, D., & Galajinsky, A. (2016). Ricci-flat spacetimes with l-conformal Galilei symmetry. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 754, 249-253. https://doi.org/10.1016/j.physletb.2016.01.042

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