4.7 Article

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

Journal

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
Volume 524, Issue 3, Pages 4019-4023

Publisher

OXFORD UNIV PRESS
DOI: 10.1093/mnras/stad2084

Keywords

cosmology: theory

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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).
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.

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