Misao Sasaki, Dong-han Yeom, Ying-li Zhang
We study the Hartle-Hawking no-boundary proposal for quantum cosmology in the context of massive gravity. It is known that the no-boundary proposal in the traditional Einstein gravity does not prefer inflation, that is, the probability of realizing a large number of $e$-folds is exponentially suppressed. This situation may be changed drastically in a class of nonlinear massive gravity theories recently proposed by deRham, Gabadadze and Tolley, called dRGT massive gravity. We show that the contribution from the massive gravity sector can enhance the probability of a large number of $e$-folds substantially for a sufficiently large mass parameter $m_g$ comparable to the Hubble parameter during inflation, say $m_g \gtrsim 10^{12}$ GeV. We illustrate possible models to trigger such a large mass parameter in the early universe while it is negligibly small in the present universe.
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http://arxiv.org/abs/1307.5948
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