Gravitational Trapping of the Bulk Fields in 6D

Abstract

We present two new solutions to Einstein's equations in (1+5)-spacetime with a positive bulk cosmological constant. One solution has increasing and another solution decreasing bounded scale function without singularities in the range from the origin r=0 to the radial infinity. For the both solutions it is shown that all local fields are localized near the origin r=0 in the extra space through the gravitational interaction.

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