Bulk metric of brane world models and submanifolds in 6D pseudo-Euclidean space-time. (English) Zbl 1214.83037
Summary: In this short note, five-dimensional brane world models with \(dS_{4}\) 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.
MSC:
| 83E30 | String and superstring theories in gravitational theory |
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 83E15 | Kaluza-Klein and other higher-dimensional theories |
| 83F05 | Relativistic cosmology |
| 83C05 | Einstein’s equations (general structure, canonical formalism, Cauchy problems) |
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