Loop quantum cosmology of Bianchi IX: Effective dynamics

Understand

We study numerically the solutions to the effective equations of Bianchi IX spacetimes within Loop Quantum Cosmology.

• We consider Bianchi IX models with and without inverse triad corrections whose matter content is a scalar field without mass.
• The solutions are classified using the classical observables.
• We show that both effective theories --with lapse N=V and N=1-- solve the big bang singularity and reproduce the classical dynamics far from the bounce.