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Does a varying speed of light solve the cosmological problems?

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arxiv astro-ph/9906117 v1 pith:37LK245Z submitted 1999-06-07 astro-ph gr-qchep-th

classification astro-phgr-qchep-th
keywords energyinvariancelightlorentzproblemssolvespeedtheory
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abstract

We propose a new generalisation of general relativity which incorporates a variation in both the speed of light in vacuum (c) and the gravitational constant (G) and which is both covariant and Lorentz invariant. We solve the generalised Einstein equations for Friedmann universes and show that arbitrary time-variations of c and G never lead to a solution to the flatness, horizon or $\Lambda$ problems for a theory satisfying the strong energy condition. In order to do so, one needs to construct a theory which does not reduce to the standard one for any choice of time, length and energy units. This can be achieved by breaking a number of invariance principles such as covariance and Lorentz invariance.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. New analysis of SNeIa Pantheon Catalog: Variable speed of light as an alternative to dark energy

    astro-ph.CO 2024-12 reject novelty 6.0 of 10

    A variable-speed-of-light model with a modified Lemaître redshift formula fits the Pantheon supernova catalog with H0 ≈ 47 and no dark energy.

  2. Revisiting Varying Speed of Light in Cosmology: Insights from the Friedmann-Lema\^itre-Robertson-Walker Metric

    physics.gen-ph 2025-05 reject novelty 2.0 of 10

    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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