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Exact inhomogeneous solutions of Einstein's equations have been used in theliterature to build models reproducing the cosmological data without darkenergy. However, owing to the degrees of freedom pertaining to these models, itis necessary to get rid of the degeneracy often exhibited by the problem ofdistinguishing between them and accelerating universe models. We give anoverview of redshift drift in inhomogeneous cosmologies, and explain how itserves to this purpose. One class of models which fits the data is the SzekeresSwiss-cheese class where non-spherically symmetric voids exhibit a typical sizeof about 400 Mpc. We present our calculation of the redshift drift in thismodel, and compare it with the results obtained by other authors for alternatescenarios.

Redshift-drift as a test for discriminating between decelerating inhomogeneous and accelerating universe models