Fab-Four Cosmography to Tackle the Hubble Tension.

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 H 0 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 H 0 and the deceleration parameter q 0 for all the scenarios mentioned. Finally, we compare our results to find that it is possible to alleviate the current discrepancy on H 0 by considering specific requirements on the free parameters of the Fab-Four theory through a self-tuning filter. [ABSTRACT FROM AUTHOR]