Abstract
We investigate circumstances under which one can generalize Horndeski'smost general scalar-tensor theory of gravity. Specifically we demonstratethat a nonlinear combination of purely kinetic gravity terms can give riseto an accelerating universe without the addition of extra propagatingdegrees of freedom on cosmological backgrounds, and exhibit self tuning tobring a large cosmologicalconstant under control. This nonlinear approach leads to new propertiesthat may be instructive for exploring the behaviors of gravity.
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