Total entropy in the open and flat massive conformal gravity universe grows with time, so those cosmologies pass the generalized second law; the closed one fails.
Singularities in massive conformal gravity
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We study the quantum effects of big bang and black hole singularities on massive conformal gravity. We do this by analyzing the behavior of the on-shell effective action of the theory at these singularities. The result is that such singularities are harmless in MCG because the on-shell effective action of the theory does not diverge at them.
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On the entropy of the massive conformal gravity universe
Total entropy in the open and flat massive conformal gravity universe grows with time, so those cosmologies pass the generalized second law; the closed one fails.