Abstract
In the context of the Fab-Four theory of gravity in a Friedmann-Lemaître-Robertson-Walker background, in this work we use the cosmography approach to study a particular self-tuning filter solution focused on a zero-curvature fixed point to study the H0 tension. In this scheme, the equations restrict the universe’s evolution to certain scenarios, including radiation-like expansion, matter-like expansion, and late-time acceleration. Furthermore, we build the cosmographic series of the Fab-Four theory to obtain the kinematic parameters as the Hubble constant H0 and the deceleration parameter q0 for all the scenarios mentioned. Finally, we compare our results to find that it is possible to alleviate the current discrepancy on H0 by considering specific requirements on the free parameters of the Fab-Four theory through a self-tuning filter.
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