A 6 dimensional $(Z_{2})^3$ symmetric model with warped physical space

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages, 3 tables, 2 references added

Scientific paper

10.1088/1751-8113/41/30/304012

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.

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