Classical and Quantum Cosmology of Multigravity

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Recently, a multigraviton theory on a simple closed circuit graph corresponding to the discretization of $S^1$ compactification of the Kaluza-Klein (KK) theory has been considered.

• In the present paper, we extend this theory to that on a general graph and study what modes of particles are included.
• Furthermore, we generalize it in a possible nonlinear theory based on the vierbein formalism and study classical and quantum cosmological solutions in the theory.
• We found that scale factors in a solution for this theory repeat acceleration and deceleration.