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Geodesic equation in $k$-Minkowski spacetime

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arxiv 1203.1564 v2 pith:A7WIAIJP submitted 2012-03-07 hep-th gr-qc

E. Harikumar , T. Juric , S. Meljanac This is my paper · ORCID
classification hep-thgr-qc
keywords deformationequationgeodesiccurvedderivelimitparameterspace-time
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abstract

In this paper, we derive corrections to the geodesic equation due to the $k$-deformation of curved space-time, up to the first order in the deformation parameter a. This is done by generalizing the method from our previous paper [31], to include curvature effects. We show that the effect of $k$-noncommutativity can be interpreted as an extra drag that acts on the particle while moving in this $k$-deformed curved space. We have derived the Newtonian limit of the geodesic equation and using this, we discuss possible bounds on the deformation parameter. We also derive the generalized uncertainty relations valid in the non-relativistic limit of the $k$-space-time.

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  1. Yang-Mills Field in the $\kappa$-space-time

    hep-th 2024-11 conditional novelty 6.0 of 10

    A first-order SU(N) Yang-Mills theory on κ-deformed spacetime is constructed, with field strengths rescaled by probe-energy-dependent factors and an SU(N)-invariant Lagrangian.

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