Ricci-flat spacetimes with l-conformal Galilei symmetry
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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 3 Pith papers
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Exact solutions to perfect fluid equations are built via invariance under Schrödinger, l-conformal Galilei, or Lifshitz groups, producing Bjorken-like velocity fields with tunable high-density peaks.
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Remarks on Galilean electromagnetism
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.
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