Abstract
We present cosmological constraints on deviations of Newton's constant at large scales without specifying a model, analyzing latest cosmic microwave background (CMB) anisotropies and primordial abundances of light elements synthesized by big bang nucleosynthesis (BBN). BBN limits the possible deviation at typical scales of BBN epoch, say at ${10}^{8}--{10}^{12}\text{ }\mathrm{m}$, to lie between $\ensuremath{-}5%$ and $+1%$ of the experimental value, and CMB restricts the deviation at larger scales ${10}^{2}--{10}^{9}\text{ }\mathrm{pc}$ to be between $\ensuremath{-}26%$ and $+66%$ at the $2\ensuremath{\sigma}$ confidence level. The cosmological constraints are compared with the astronomical one from the evolution of isochrone of globular clusters.
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