Clockwork cosmology

Abstract The higher order generalisation of the clockwork mechanism to gravitational interactions provides a means generate an exponentially suppressed coupling matter from fundamental theory multiple interacting gravitons, without introducing large hierarchies in underlying potential and need for dilaton, suggesting possible application hierarchy problem. We work framework ghost free multi-gravity with “nearest-neighbour” interactions, present formalism by which one is able construct potentials such that will always exhibit this effect. also consider cosmological solutions general theory, where all metrics are FRW form, site-dependent scale factors/lapses. demonstrate existence deSitter vacua share same Hubble parameter, we solve modified Einstein equations numerically example model constructed using our formalism, finding evolution metric couples essentially equivalent relativity at Planck scale. It important stress while focus on theories, entirely facilitates any interactions. Moreover, clarify previous continuum limit generically scalar-tensor braneworld, Randall-Sundrum as special case showing how discrete-clockwork results map appropriate limit.