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Toward solving the cosmological constant problem? (English) Zbl 1047.83032

The authors discuss the cosmological constant problem in the context of higher codimension brane world scenarios with infinite-volume extra dimensions. By adding higher curvature terms in the bulk action, they find smooth solutions with the property that the four-dimensional part of the brane world volume is flat for a range of positive values of the brane tension. They consider adding the second-order Gauss-Bonnet combination in the bulk (this is an Euler invariant in four dimensions). In higher dimensions, this term has nontrivial effects in the equations of motions if the background is not flat. These equations can be analyzed analytically, so that one can get some insight into the effect of higher curvature terms on some singularities. The authors study examples of: a string in 5D bulk, a membrane in 6D bulk as well as a 3-brane in 7D bulk.

MSC:

83E30 String and superstring theories in gravitational theory
83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems)
83F05 Relativistic cosmology
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