Newton–Hooke spacetimes, Hpp-waves and the cosmological constant

@article{Gibbons2003NewtonHookeSH,
  title={Newton–Hooke spacetimes, Hpp-waves and the cosmological constant},
  author={G. Gibbons and C. Patricot},
  journal={Classical and Quantum Gravity},
  year={2003},
  volume={20},
  pages={5225-5239}
}
  • G. Gibbons, C. Patricot
  • Published 2003
  • Physics
  • Classical and Quantum Gravity
  • We show explicitly how the Newton?Hooke groups N?10 act as symmetries of the equations of motion of non-relativistic cosmological models with a cosmological constant. We give the action on the associated non-relativistic spacetimes M?4 and show how these may be obtained from a null reduction of five-dimensional homogeneous pp-wave Lorentzian spacetimes M?5. This allows us to realize the Newton?Hooke groups and their Bargmann-type central extensions as subgroups of the isometry groups of M?5… CONTINUE READING
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