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It was shown recently that expanding (3+1)-dimensional Universe emerges dynamically in the Lorentzian version of the type IIB matrix model. Here, we consider two simplified models, which are expected to describe the expanding behaviors at early times and late times, respectively. By performing large-scale computations, we observe that exponential expansions in the former model and power-law expansion in the latter model, which are reminiscent of the expansion in the standard cosmology.

Exponential and power-law expansion of the Universe from the type IIB matrix model