Multigravity from a discrete extra dimension

Details Multigravity from a discrete extra dimension Multigravity from a discrete extra dimension

2003-11-14

arxiv.org/abs/hep-th/0311124v2

Phys.Lett.B589:48-58,2004

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, v.2 reference added, footnote removed

Scientific paper

10.1016/j.physletb.2004.03.053

Multigravity theories are constructed from the discretization of the extra dimension of five dimensional gravity. Using an ADM decomposition, the discretization is performed while maintaining the four dimensional diffeomorphism invariance on each site. We relate the Goldstone bosons used to realize nonlinearly general covariance in discretized gravity to the shift fields of the higher dimensional metric. We investigate the scalar excitations of the resulting theory and show the absence of ghosts and massive modes; this is due to a local symmetry inherited from the reparametrization invariance along the fifth dimension.

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