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Tensor models can be interpreted as theory of dynamical fuzzy spaces. In thispaper, I study numerically the fluctuation spectra around a Gaussian classicalsolution of a tensor model, which represents a fuzzy flat space in arbitrarydimensions. It is found that the momentum distribution of the low-lyinglow-momentum spectra is in agreement with that of the metric tensor modulo thegeneral coordinate transformation in the general relativity at least in thedimensions studied numerically, i.e. one to four dimensions. This resultsuggests that the effective field theory around the solution is described in asimilar manner as the general relativity.

The fluctuation spectra around a Gaussian classical solution of a tensor model and the general relativity