Gravitational lens time-delay as a probe of a possible time variation of the fine-structure constant

Abstract

A new method based on large-scale structure observations is proposed to probe a possible time 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 a class of runaway dilaton models, where the cosmological 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.

arXiv comment9 pages, 4 figures and 1 table - Accepted in The European Physical Journal C

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