Teruki Hanada et al 2010 Class. Quantum Grav. 27 225010 doi:10.1088/0264-9381/27/22/225010
Teruki Hanada, Koichiro Kobayashi, Kazuhiko Shinoda and Kiyoshi Shiraishi
Show affiliationsRecently, a multigraviton theory on a simple closed circuit graph corresponding to the discretization of S1 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.
04.60.Kz Lower dimensional models; minisuperspace models
95.30.Sf Relativity and gravitation
04.50.-h Higher-dimensional gravity and other theories of gravity
Issue 22 (21 November 2010)
Received 30 May 2010, in final form 25 August 2010
Published 19 October 2010
Teruki Hanada et al 2010 Class. Quantum Grav. 27 225010
Ralf Aurich 2008 Class. Quantum Grav. 25 225017