Probing the constancy of the speed of light with future galaxy survey: the case of SKA and Euclid

Abstract

In [1] a new method to measure the speed of light through Baryon Acoustic Oscillations (BAO) was introduced. Here, we describe in much more detail the theoretical basis of that method, its implementation, and give some newly updated results about its application to the forecast data. In particular, we will show that SKA will be able to detect a 1% variation (if any) in the speed of light at 3$\sigma$ level. Smaller signals will be hardly detected by already-planned future galaxy surveys, but we give indications about what sensitivity requirements should a survey fulfill in order to be successful.

13 pages, 2 figures, 2 tables

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• Dispersion by pulsars, magnetars, fast radio bursts and massive electromagnetism at very low radio frequencies
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• Statistical hierarchy of varying speed of light cosmologies
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• Recovering a redshift-extended VSL signal from galaxy surveys
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• A mechanism to generate varying speed of light via Higgs-dilaton coupling: Theory and cosmological applications
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• Observational effects of varying speed of light in quadratic gravity cosmological models
• A model-independent test of speed of light variability with cosmological observations