BULK METRIC OF BRANE WORLD MODELS AND SUBMANIFOLDS IN 6D PSEUDO-EUCLIDEAN SPACE-TIME

Abstract

In this short note, five-dimensional brane world models with dS4 metric on the branes are discussed. The explicit coordinate transformations, which show the equivalence between the bulk metric of these brane world models and the metric induced on an appropriate submanifolds in the flat six-dimensional pseudo-Euclidean space-time, are presented. The cases of the zero and nonzero cosmological constant in the bulk are discussed in detail.