The paper re-derives the meVSL model's Friedmann equations using the 3+1 formalism and identifies the lapse function with the varying speed of light, but only after silently replacing the speed of light c with tilde c, so the claimed consistency with the earlier equations fails.
Exact non-linear equations for cosmological perturbations
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abstract
We present a complete set of exact and fully non-linear equations describing all three types of cosmological perturbations -- scalar, vector and tensor perturbations. We derive the equations in a thoroughly gauge-ready manner, so that any spatial and temporal gauge conditions can be employed. The equations are completely general without any physical restriction except that we assume a flat homogeneous and isotropic universe as a background. We also comment briefly on the application of our formulation to the non-expanding Minkowski background.
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3+1 formalism of the minimally extended varying speed of light model
The paper re-derives the meVSL model's Friedmann equations using the 3+1 formalism and identifies the lapse function with the varying speed of light, but only after silently replacing the speed of light c with tilde c, so the claimed consistency with the earlier equations fails.