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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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",

year = "2016",

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day = "10",

doi = "10.1016/j.physletb.2016.01.042",

language = "English",

volume = "754",

pages = "249--253",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

issn = "0370-2693",

publisher = "Elsevier",

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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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