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• W3100011973 abstract "We show explicitly how the Newton-Hooke groups 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 and show how these may be obtained from a null reduction of 5-dimensional homogeneous pp-wave Lorentzian spacetimes. This allows us to realize the Newton-Hooke groups and their Bargmann type central extensions as subgroups of the isometry groups of the pp-wave spacetimes. The extended Schrodinger type conformal group is identified and its action on the equations of motion given. The non-relativistic conformal symmetries also have applications to time-dependent harmonic oscillators. Finally we comment on a possible application to Gao's generalization of the matrix model." @default.
• W3100011973 created "2020-11-23" @default.
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• W3100011973 date "2003-10-24" @default.
• W3100011973 modified "2023-10-06" @default.
• W3100011973 title "Newton–Hooke spacetimes, Hpp-waves and the cosmological constant" @default.
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• W3100011973 doi "https://doi.org/10.1088/0264-9381/20/23/016" @default.
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