# Covariant and locally Lorentz-invariant varying speed of light theories

@article{Magueijo2000CovariantAL, title={Covariant and locally Lorentz-invariant varying speed of light theories}, author={Jo{\~a}o Magueijo}, journal={Physical Review D}, year={2000}, volume={62}, pages={103521} }

We propose definitions for covariance and local Lorentz invariance applicable when the speed of light $c$ is allowed to vary. They have the merit of retaining only those aspects of the usual definitions which are invariant under unit transformations, and which can therefore legitimately represent the outcome of an experiment. We then discuss some possibilities for invariant actions governing the dynamics of such theories. We consider first the classical action for matter fields and the effects…

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