Relativistic and Newtonian kappa spacetimes

Details Relativistic and Newtonian kappa spacetimes Relativistic and Newtonian kappa spacetimes

1995-05-02

arxiv.org/abs/q-alg/9505004v3

J.Math.Phys.36:6879-6896,1995

Physics

High Energy Physics

High Energy Physics - Theory

Slightly shortened version with small changes to adapt the paper to JMP style

Scientific paper

10.1063/1.531196

The deformations of the Galilei algebra and their associated noncommutative Newtonian spacetimes are investigated. This is done by analyzing the possible nonrelativistic limits of an eleven generator (pseudo)extended \kap-Poincar\'e algebra $\tilde{\cal P}_\kappa$ and their implications for the existence of a first order differential calculus. The additional one-form needed to achieve a consistent calculus on \kap-Minkowski space is shown to be related to the additional central generator entering in the $\tilde{\cal P}_\kappa$ Hopf algebra. In the process, deformations of the extended Galilei and Galilei algebras are introduced which have, respectively, a cocycle and a bicrossproduct structure.

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