The variation of the gravitational constant inferred from the Hubble diagram of Type Ia supernovae
E. Garcia-Berro, Yu.A. Kubyshin, P. Loren-Aguilar, and J. Isern

TL;DR
This paper investigates a cosmological model with a variable gravitational constant G, derived from scalar-tensor theory, using supernova data to describe G's variation and its implications for fundamental constants.
Contribution
It introduces a phenomenological expression for G's variation based on supernova observations within a scalar-tensor framework.
Findings
G varies over cosmological timescales according to the model
The variation of the fine structure constant lpha does not align with existing constraints
Supernova data can be used to infer changes in fundamental constants
Abstract
We consider a cosmological model with a variable gravitational constant, G, based on a scalar-tensor theory. Using the recent observational data for the Hubble diagram of type Ia supernovae (SNeIa) we find a phenomenological expression describing the variation of G. The corresponding variation of the fine structure constant \alpha within multidimensional theories is also computed and is shown not to support known constraints on \Delta \alpha / \alpha.
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