A 6 dimensional $(Z_2{)}^3$ symmetric model with warped physical space

Abstract

The Randall-Sundrum model is studied in 6 dimension with AdS${}_4$ or dS${}_4$ metric in the physical 4 dimensional space. Two solutions are found, one with induced 5-dimensional gravity terms added to the induced cosmological constant terms. We study the graviton modes in both solutions by transforming the mass eigenvalue equation to a Schrodinger equation with a volcano potential. The spectrum of gravitational excitations depends on the input parameters of the theory, the six dimensional and the effective four-dimensional cosmological constants. The model gives a physically acceptable spectrum if the 4 dimensional cosmological constant is sufficiently small.

14 pages, 3 tables, 2 references added

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