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

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

2003-08-28

arxiv.org/abs/hep-th/0308200v1

Class.Quant.Grav.20:5225,2003

Physics

High Energy Physics

High Energy Physics - Theory

21 pages

Scientific paper

10.1088/0264-9381/20/23/016

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.

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