A statefinder luminosity distance formula in varying speed of light cosmology

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.

6 pages, REVTEX 4-1, no figures. arXiv admin note: substantial text overlap with arXiv:1310.7231

References in corpus (6)

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• Cosmic Jerk, Snap and Beyond
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Cited by in corpus (14)

• The minimally extended Varying Speed of Light (meVSL)
• Measuring the speed of light with Baryon Acoustic Oscillations
• Constraining the dark energy statefinder hierarchy in a kinematic approach
• Statistical hierarchy of varying speed of light cosmologies
• Probing the constancy of the speed of light with future galaxy survey: the case of SKA and Euclid
• Recovering a redshift-extended VSL signal from galaxy surveys
• Varying constants entropic--$\Lambda$CDM cosmology
• Modelling spatial variations of the speed of light
• Measuring the speed of light with cosmological observations: current constraints and forecasts
• Revisiting Varying Speed of Light in Cosmology: Insights from the Friedmann-Lemaître-Robertson-Walker Metric
• A mechanism to generate varying speed of light via Higgs-dilaton coupling: Theory and cosmological applications
• New analysis of SNeIa Pantheon Catalog: Variable speed of light as an alternative to dark energy
• Perturbation Theory in the Minimally Extended Varying Speed of Light (meVSL) Model
• A model-independent test of speed of light variability with cosmological observations