Gravitational lens time-delay as a probe of a possible time variation of the fine-structure constant
2021
A new method based on large scale structure observations is proposed to probe a possible temporal variation of the fine-structure constant (
$$\alpha $$
). Our analyses are based on time-delay of Strong Gravitational Lensing and Type Ia Supernovae observations. By considering the runaway dilaton scenario, where the cosmological temporal evolution of the fine-structure constant is given by $$\frac{\Delta \alpha }{\alpha } \approx -\gamma \ln {(1+z)}$$
, we obtain limits on the physical properties parameter of the model (
$$\gamma $$
) at the level $$10^{-2}$$
(
$$1\sigma $$
). Although our limits are less restrictive than those obtained by quasar spectroscopy, the approach presented here provides new bounds on the possibility of $$\frac{\Delta \alpha }{\alpha } \ne 0$$
at a different range of redshifts.
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