We find that an observer with a suitable acceleration relative to the frame comoving with the cosmic fluid, in the context of the FRW decelerating universe, measures the same cosmological redshift as in the ΛCDM model. The estimated value of this acceleration is β ≃ 1.4 × 10−9 m/s2. We discuss two different scenarios, a motion with constant acceleration and a helical motion (although other alternatives are also likely), and we show that the final value of the peculiar velocity is sensitive to the type of the peculiar motion.
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