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arxiv: 1512.06226 · v2 · submitted 2015-12-19 · ✦ hep-th · gr-qc· math-ph· math.MP

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Ricci-flat spacetimes with l-conformal Galilei symmetry

D. Chernyavsky , A. Galajinsky
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classification ✦ hep-th gr-qcmath-phmath.MP
keywords galileil-conformalricci-flatsymmetryaccelerationassociatedblackconstructed
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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.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Remarks on Galilean electromagnetism

    physics.class-ph 2026-01 unverdicted novelty 4.0

    Galilean electromagnetism equations with sources are invariant under the l-conformal Galilei group for arbitrary half-integer l, connecting inertial frames to accelerated ones and indicating potential instability.