A diffeomorphism invariant family of metric-affine actions for loop cosmologies

Understand

In loop quantum cosmology (LQC) the big bang singularity is generically resolved by a big bounce.

• This feature holds even when modified quantization prescriptions of the Hamiltonian constraint are used such as in mLQC-I and mLQC-II.
• While the later describes an effective description qualitatively similar to that of standard LQC, the former describes an asymmetric evolution with an emergent Planckian de-Sitter pre-bounce phase even in the absence of a potential.
• We consider the potential relation of these canonically quantized non-singular models with effective actions based on a geometric description.