Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-04-30
Class.Quant.Grav.27:225010,2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
17 pages, 15 figures, RevTeX4.1, revised version
Scientific paper
10.1088/0264-9381/27/22/225010
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.
Hanada Teruki
Kobayashi Koichiro
Shinoda Kazuhiko
Shiraishi Kiyoshi
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