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A viable varying speed of light model in the RW metric
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The Robertson-Walker (RW) metric allows us to apply general relativity to model the behavior of the Universe as a whole (i.e., cosmology). We can properly interpret various cosmological observations, like the cosmological redshift, the Hubble parameter, geometrical distances, and so on, if we identify fundamental observers with individual galaxies. That is to say that the interpretation of observations of modern cosmology relies on the RW metric. The RW model satisfies the cosmological principle in which the 3-space always remains isotropic and homogeneous. One can derive the cosmological redshift relation from this condition. We show that it is still possible for us to obtain consistent results in a specific time-varying speed-of-light model without spoiling the success of the standard model. The validity of this model needs to be determined by observations.
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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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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3+1 formalism of the minimally extended varying speed of light model
The paper re-derives the meVSL model's Friedmann equations using the 3+1 formalism and identifies the lapse function with the varying speed of light, but only after silently replacing the speed of light c with tilde c...
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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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