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Holography and brane-bulk energy exchange. (English) Zbl 1236.83014

Summary: Holography relates the low energy regime of the five-dimensional description of generalized Randall-Sundrum cosmology to a four-dimensional theory. The four-dimensional theory describes observable matter interacting with a hidden (non-conformal) gauge theory. This provides a new arena for implementing the cosmological brane-bulk energy exchange processes studied previously. Unlike the five-dimensional description, there is no big-bang singularity in four dimensions. Some simple solutions are presented in four dimensions. A gauge theory description of observable four-dimensional gravity is also advocated.

MSC:

83E15 Kaluza-Klein and other higher-dimensional theories
83F05 Relativistic cosmology
81T20 Quantum field theory on curved space or space-time backgrounds
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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