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Ricci-flat spacetimes with l-conformal Galilei symmetry

High Energy Physics - Theory 2016-01-27 v2 General Relativity and Quantum Cosmology Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.1512.06226,
  title  = {Ricci-flat spacetimes with l-conformal Galilei symmetry},
  author = {D. Chernyavsky and A. Galajinsky},
  journal= {arXiv preprint arXiv:1512.06226},
  year   = {2016}
}

Comments

V2: refs. added, the version to appear in PLB