Ricci-flat spacetimes with l-conformal Galilei symmetry

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13 Citations (Scopus)

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 languageEnglish
Pages (from-to)249-253
Number of pages5
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume754
DOIs
Publication statusPublished - 10 Mar 2016

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dynamical systems
horizon
generators
signatures
symmetry

Keywords

  • Conformal Galilei algebra
  • Ricci-flat metrics

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

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title = "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.",
keywords = "Conformal Galilei algebra, Ricci-flat metrics",
author = "D. Chernyavsky and A. Galajinsky",
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AU - Galajinsky, A.

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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

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

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