HYM-flation: Yang-Mills cosmology with Horndeski coupling. (English) Zbl 1367.83104
Summary: We propose new mechanism for inflation using classical \(\mathrm{SU}(2)\) Yang-Mills (YM) homogeneous and isotropic field non-minimally coupled to gravity via Horndeski prescription. This is the unique generally and gauge covariant ghost-free YM theory with the curvature-dependent action leading to second-order gravity and Yang-Mills field equations. We show that its solution space contains de Sitter boundary to which the trajectories are attracted for some finite time, ensuring the robust inflation with a graceful exit. The theory can be generalized to include the Higgs field leading to two-steps inflationary scenario, in which the Planck-scale YM-generated inflation naturally prepares the desired initial conditions for the GUT-scale Higgs inflation.
MSC:
| 83F05 | Relativistic cosmology |
| 83B05 | Observational and experimental questions in relativity and gravitational theory |
| 70S15 | Yang-Mills and other gauge theories in mechanics of particles and systems |
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