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

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arxiv 1710.05990 v2 pith:NFEEYNZP submitted 2017-10-16 gr-qc astro-ph.COhep-th

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

classification gr-qc astro-ph.COhep-th
keywords non-singularsolutionsbounceconditioncosmologicaleinsteingravityhorndeski
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper, we show how the proper choice of gauge is critical in analyzing the stability of non-singular cosmological bounce solutions based on Horndeski theories. We show that it is possible to construct non-singular cosmological bounce solutions with classically stable behavior for all modes with wavelengths above the Planck scale where: (a) the solution involves a stage of null-energy condition violation during which gravity is described by a modification of Einstein's general relativity; and (b) the solution reduces to Einstein gravity both before and after the null-energy condition violating stage. Similar considerations apply to galilean genesis scenarios.

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    A kinetic cubic Horndeski coupling creates an ultra-slow-roll phase that amplifies curvature perturbations enough to produce asteroid-mass primordial black holes, potentially 90% of dark matter.