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Geometry and dynamics of the brane-world. (English) Zbl 1005.83027

Pascual-Sánchez, J. F. (ed.) et al., Reference frames and gravitomagnetism. Proceedings of the 23rd Spanish relativity meeting (EREs2000), Valladolid, Spain, September 6-9, 2000. Singapore: World Scientific. 93-119 (2001).
This is a review about cosmological consequences of a brane-world scenario. It is related to string theory, where here mainly the 5-dimensional space-time approach is used. Applications are deduced for the appearance of black holes, gravitational waves, and the inflationary phase of cosmic evolution. Gravitational perturbations are considered in detail, where the Gauss-Codazzi equations are applied.
For the entire collection see [Zbl 0987.00058].

MSC:

83E15 Kaluza-Klein and other higher-dimensional theories
83E30 String and superstring theories in gravitational theory
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory