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A statefinder luminosity distance formula in varying speed of light cosmology
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abstract
We derive a luminosity distance formula for the varying speed of light (VSL) theory which involves higher order characteristics of expansion such as jerk, snap and lerk which can test the impact of varying $c$ onto the evolution of the universe. We show that the effect of varying $c$ is possible to be isolated due to the relations connecting observational parameters already by measuring the second-order term in redshift $z$ unless there is a redundancy between the curvature and an exotic fluid of cosmic strings scaling the same way as the curvature.
Forward citations
Cited by 2 Pith papers
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New analysis of SNeIa Pantheon Catalog: Variable speed of light as an alternative to dark energy
A variable-speed-of-light model with a modified Lemaître redshift formula fits the Pantheon supernova catalog with H0 ≈ 47 and no dark energy.
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Revisiting Varying Speed of Light in Cosmology: Insights from the Friedmann-Lema\^itre-Robertson-Walker Metric
A varying speed of light in FLRW is presented as gauge freedom via the lapse function, but the key variational derivation omits the √-g measure and the claimed Hubble-tension resolution contradicts Eq. (30).
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