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In this paper, we show how the proper choice of gauge is critical inanalyzing the stability of non-singular cosmological bounce solutions based onHorndeski theories. We show that it is possible to construct non-singularcosmological bounce solutions with classically stable behavior for all modeswith wavelengths above the Planck scale where: (a) the solution involves astage of null-energy condition violation during which gravity is described by amodification of Einstein's general relativity; and (b) the solution reduces toEinstein gravity both before and after the null-energy condition violatingstage. Similar considerations apply to galilean genesis scenarios.

Space-time slicing in Horndeski theories and its implications for non-singular bouncing solutions