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Brane World, Mass Hierarchy and the Cosmological Constant

Shoichi Ichinose

gr-qcarXiv:gr-qc/0201065

Abstract

The brane world based on the 6D gravitational model is examined. It is regarded as a higher dimensional version of the 5D model by Randall and Sundrum >. The obtained analytic solution is checked by the numerical method. The mass hierarchy is examined. Especially the geometrical see-saw mass relation, between the Planck mass, the cosmological constant, and the neutrino mass, is suggested. Comparison with the 5D model is made.

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