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Constraint on the minimally extended varying speed of light using time dilations in type Ia supernovae
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abstract
The Friedmann-Lema\^{i}tre-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 (\textit{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 ($0.28 \leq z \leq 0.62$) SNe Ia to obtain $b = 0.198 \pm 0.415$ 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.
Forward citations
Cited by 4 Pith papers
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From a Sharp Thin-Shell Obstruction to a Smooth Positive-Density Initial-Data Embedding of a Virialized Halo in Lambda-FLRW Cosmology
A conformally flat, constant-mean-curvature ADM initial slice embeds a virialized halo in a lambda-FLRW exterior through a positive-density finite compensation region, avoiding the negative thin-shell layer of sharp matching.
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New analysis of SNeIa Pantheon Catalog: Variable speed of light as an alternative to dark energy
A variable-speed-of-light model with a modified Lemaître redshift formula fits the Pantheon supernova catalog with H0 ≈ 47 and no dark energy.
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Alleviating the Hubble Tension via Cosmological Time Dilation in the meVSL Model
The meVSL model's parameter b reduces the baryon drag sound horizon, raising inferred H0, and changes the cosmological time-dilation exponent to n=1-b/4; the paper forecasts SN sample sizes to detect this.
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Revisiting Varying Speed of Light in Cosmology: Insights from the Friedmann-Lema\^itre-Robertson-Walker Metric
A varying speed of light in FLRW is presented as gauge freedom via the lapse function, but the key variational derivation omits the √-g measure and the claimed Hubble-tension resolution contradicts Eq. (30).
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