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We consider a scenario of large-scale modification of gravity that does notinvoke extra degrees of freedom but includes coupling between baryonic matterand dark matter in the Einstein frame. The total matter energy density followsthe standard conservation, and evolution has the character of deceleration inthis frame. The model exhibits interesting features in the Jordan framerealized by virtue of a disformal transformation where individual mattercomponents adhere to standard conservation but gravity is modified. A genericparametrization of disformal transformation leaves thermal history intact. Itgives rise to late time acceleration in the Jordan frame, which necessarilyincludes phantom crossing, which, in the standard framework, can be realizedusing at least two scalar fields. This scenario is embodied by twodistinguishing features, namely, acceleration in the Jordan frame anddeceleration in the Einstein frame, and the possibility of resolution of theHubble tension thanks to the emergence of the phantom phase at late times.

Generic modification of gravity, late time acceleration and Hubble tension