Alleviating $H_0$ tension in scalar-tensor and bi-scalar-tensor theories
Maria Petronikolou, Emmanuel N. Saridakis

TL;DR
This paper explores scalar-tensor and bi-scalar-tensor gravity theories as potential solutions to the H_0 tension, demonstrating mechanisms that modify gravitational effects and dark energy behavior to reconcile local and cosmic measurements.
Contribution
It introduces specific models within scalar-tensor and bi-scalar-tensor theories that can alleviate the H_0 tension through unique late-time mechanisms.
Findings
Smaller effective Newton's constant at intermediate times.
Phantom behavior of dark-energy equation-of-state parameter.
Alleviation of H_0 tension in both classes of theories.
Abstract
We investigate scalar-tensor and bi-scalar-tensor modified theories of gravity that can alleviate the tension. In the first class of theories we show that choosing particular models with shift-symmetric friction term we are able to alleviate the tension by obtaining smaller effective Newton's constant at intermediate times, a feature that cannot be easily obtained in modified gravity. In the second class of theories, which involve two extra propagating degrees of freedom, we show that the tension can be alleviated, and the mechanism behind it is the phantom behavior of the effective dark-energy equation-of-state parameter. Hence, scalar-tensor and bi-scalar-tensor theories have the capability of alleviating tension with both known sufficient late-time mechanisms.
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