Statistical hierarchy of varying speed of light cosmologies
Vincenzo Salzano, Mariusz P. Dabrowski

TL;DR
This paper evaluates various varying speed of light (VSL) cosmological models against observational data, finding that some models, especially Moffat's, are compatible with current data and can provide insights into dark energy and spatial curvature.
Contribution
It offers a comprehensive comparison of three VSL theories using Bayesian evidence and diverse ansätze, highlighting the viability of VSL models with current cosmological data.
Findings
Moffat's VSL model has higher Bayesian evidence than standard ΛCDM.
VSL models can exclude a cosmological constant at 2σ level.
VSL signals may help constrain spatial curvature and dark energy properties.
Abstract
Variation of the speed of light is quite a debated issue in cosmology with some benefits, but also with some controversial concerns. Many approaches to develop a consistent varying speed of light (VSL) theory have been developed recently. Although a lot of theoretical debate has sprout out about their feasibility and reliability, the most obvious and straightforward way to discriminate and check if such theories are really workable has been missed out or not fully employed. What is meant here is the comparison of these theories with observational data in a fully comprehensive way. In this paper we try to address this point i.e., by using the most updated cosmological probes, we test three different candidates for a VSL theory (Barrow \& Magueijo, Avelino \& Martins, and Moffat) signal. We consider many different ans\"{a}tze for both the functional form of (which cannot be fixed…
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