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Ricci-flat spacetimes with l-conformal Galilei symmetry

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arxiv 1512.06226 v2 pith:4H3FTJBZ submitted 2015-12-19 hep-th gr-qcmath-phmath.MP

Ricci-flat spacetimes with l-conformal Galilei symmetry

classification hep-th gr-qcmath-phmath.MP
keywords galileil-conformalricci-flatsymmetryaccelerationassociatedblackconstructed
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 5 Pith papers

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

  1. Perfect fluid equations with nonrelativistic conformal supersymmetries

    hep-th 2026-05 unverdicted novelty 5.0

    Constructs supersymmetric perfect fluid equations for N=2 conformal Newton-Hooke and N=1 l-conformal Galilei superalgebras using Hamiltonian methods with anticommuting superpartner fields for density and velocity.

  2. Perfect fluid equations with nonrelativistic conformal symmetry: Exact solutions

    math-ph 2026-04 unverdicted novelty 5.0

    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.

  3. On the instability of some upward propagating, exact, nonlinear mountain waves

    physics.ao-ph 2026-04 unverdicted novelty 5.0

    Exact dry-adiabatic mountain waves are linearly unstable for steepness above 1/3, with an unstable layer beneath the tropopause.

  4. 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.

  5. Remarks on Galilean electromagnetism

    physics.class-ph 2026-01 conditional novelty 4.0

    The electric and magnetic nonrelativistic limits of Maxwell's equations with sources are invariant under the ℓ-conformal Galilei group for any half-integer ℓ, and this symmetry permits unphysical accelerating solutions.