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Cosmologies with Varying Light-Speed
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abstract
We analyse a generalisation of general relativity that incorporates a cosmic time-variation of the velocity of light in vacuum, $c,$ and the Newtonian gravitation 'constant', $G,$ proposed by Albrecht and Maguejo. We find exact solutions for Friedmann universes and determine the rate of variation of $c$ required to solve the flatness and classical cosmological constant problems. Potential problems with this approach to the resolution of the flatness and classical cosmological constant problems are highlighted. Reformulations are suggested which give the theory a more desirable limit as a theory of varying $G$ in the limit of constant $c$ and its relationship to theories with varying electron charge and constant $c$ are discussed.
Forward citations
Cited by 2 Pith papers
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An intrinsic kinematic relation $\boldsymbol{c=\frac{c_{0}}{H_{0}}\,\dot{a}}\,$ inferred from Type Ia supernovae
The Pantheon supernova fit in a Dolgov–Barrow varying-speed-of-light cosmology favors the locus (1+ζ)μ=1, interpreted as c∝da/dt.
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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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