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Friedmann-Lema\^itre-Robertson-Walker cosmology is examined from the point ofview of gravitoelectromagnetism, in the approximation of spacetime regionssmall in comparison with the Hubble radius. The usual Lorentz gauge is notappropriate for this situation, while the Painlev\'e-Gullstrand gauge is rathernatural. Several non-trivial features and differences with respect to"standard" asymptotically flat gravitoelectromagnetism are discussed.

Friedmann-Lema\^itre-Robertson-Walker cosmology through the lens of gravitoelectromagnetism