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Relativistic and Newtonian kappa spacetimes

J. A. de Azcarraga·J. C. Perez Bueno
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Abstract

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-Poincaré algebra $\tilde{\cal P}_κ$ 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 $\tilde{\cal P}_κ$ 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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BibTeXRIS

J. A. de Azcarraga, J. C. Perez Bueno. 1995-09-26. Relativistic and Newtonian kappa spacetimes. https://doi.org/10.1063/1.531196

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