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Inflating intersecting branes and remarks on the hierarchy problem. (English) Zbl 0974.83068

Summary: We generalize solutions of Einstein’s equations for intersecting branes in higher dimensional spacetimes to the nonstatic case, modeling an expanding universe. The relation between the Hubble rate, the brane tensions, and the bulk cosmological constant is similar to the case of a single 3-brane in a 5-dimensional spacetime. However, because the bulk inflates as well as the branes, this class of solutions suffers from Newton’s constant tending toward zero on the TeV brane, where the Randall-Sundrum mechanism should solve the weak scale hierarchy problem. The strength of gravity remains constant on the Planck brane, however.

MSC:

83F05 Relativistic cosmology
83E30 String and superstring theories in gravitational theory
81V17 Gravitational interaction in quantum theory

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