Are there known Universe solutions of both negative and positive curvature?

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Matts Roos

Yes there are solutions of both negative and positive curvature, for instance the very general Horndeski Lagrangian contains such solutions.

George Dishman

You might note that the original poster's account has been closed so there's no point asking him.

See the linked article for an explanation of the terms. The value is ΩK in the Planck 2015 results. Note that the definition means a positive value of ΩK means negative curvature and vice versa.

https://en.wikipedia.org/wiki/Shape_of_the_universe#Curvature_of_Universe

https://arxiv.org/abs/1502.01589