Constraint on the minimally extended varying speed of light using time dilations in Type Ia supernovae

The Friedmann-Lemaitre-Robertson-Walker model establishes the correlation between redshifts and distances. It has a metric expansion of space. As a result, the wavelength of photons propagating through the expanding space is stretched, creating the cosmological redshift, z. It also relates the frequency of light detected by a local observer to that emitted from a distant source. In standard cosmology (i.e. a constant speed light model), this relation is given by a factor 1/(1 + z). However, this ratio is modified in the minimally extended varying speed of light model (meVSL, c = c(0)a(b/4)) as 1/(1 + z)(1 - b/4). This time dilation effect is detected as the observed rate of the time variation in the intensity of emitted radiation. The spectra of Type Ia supernovae (SNe Ia) provide a reliable way to measure the apparent aging rate of distant objects. We use data on 13 high-redshift (0.28 & LE; z & LE; 0.62) SNe Ia to obtain b = 0.198 & PLUSMN; 0.415 at the 1-& sigma; confidence interval. The current data is too sparse to give meaningful constrain on the meVSL and cannot distinguish the meVSL model from the standard model.

Automated summary

The Friedmann-Lemaitre-Robertson-Walker model establishes the correlation between redshifts and distances, incorporating the metric expansion of space. In this model, as the universe expands, the wavelength of photons is stretched, resulting in a cosmological redshift, denoted as z. The relationship between the frequency of light detected by a local observer and that emitted from a distant source is modified in the minimally extended varying speed of light model as 1/(1 + z)(1 - b/4).