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Gravitational trapping for extended extra dimension. (English) Zbl 1062.83554

Summary: The solution of Einstein’s equations for 4-brane embedded in five-dimensional Anti-de Sitter space-time is found. It is shown that the cosmological constant can provide the existence of ordinary four-dimensional Newton’s law and trapping of a matter on the brane.

MSC:

83E15 Kaluza-Klein and other higher-dimensional theories
83F05 Relativistic cosmology
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[1] DOI: 10.1016/S0370-2693(98)00466-3 · Zbl 1355.81103
[2] DOI: 10.1016/0370-2693(83)91254-6
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[6] DOI: 10.1016/S0370-1573(96)00046-4
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