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

  title={Newton–Hooke spacetimes, Hpp-waves and the cosmological constant},
  author={G. Gibbons and C. Patricot},
  journal={Classical and Quantum Gravity},
  • 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
    95 Citations


    Kinematics of a Spacetime with an Infinite Cosmological Constant
    • 4
    • PDF
    Celestial mechanics, conformal structures, and gravitational waves.
    • 271
    • Highly Influential
    • PDF
    Bargmann structures and Newton-Cartan theory.
    • 313
    Non-relativistic spacetimes with cosmological constant
    • 44
    • PDF
    Penrose limits, supergravity and brane dynamics
    • 294
    • PDF
    Homogeneous plane waves
    • 93
    • PDF
    Symmetries, Matrices, and de Sitter Gravity
    • 45
    • Highly Influential
    • PDF
    Tachyon Condensates, Carrollian Contraction of Lorentz Group, and Fundamental Strings
    • 98
    • PDF
    On the Contraction of Groups and Their Representations.
    • E. Inonu, E. Wigner
    • Physics, Medicine
    • Proceedings of the National Academy of Sciences of the United States of America
    • 1953
    • 898
    • PDF