Healthy Horndeski cosmologies with torsion

We show that the full Horndeski theory with both curvature and torsion can support nonsingular, stable and subluminal cosmological solutions at all times . Thus, with torsion, the usual No-Go theorem that holds in a curved spacetime is avoided. In particular, it is essential to include the nonminimal derivative couplings of the ℒ 5 part of the Horndeski action ( G μν ∇ μ ∇ ν ϕ , and (∇ 2 ϕ ) 3 ). Without the latter a No-Go already impedes the eternal subluminality of nonsingular, stable cosmologies.