Bianchi IX Models: Cosmology Calculations & Quantum Field Theory

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Hi guys! I'm currently working on a topic in the field of cosmology, more specifically Bianchi IX models. It is hard to find any form of information about this specific subject. And of course I don't just want to derive the metric for Bianchi IX, I also want to apply this model and do some interesting calculations! Is there some not to advanced calculations combined with quantum field theory that I can do? Or anything else that could be interesting.
 
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