Inflationary solutions in the brane world and their geometrical interpretation

摘要: We consider the cosmology of a pair domain walls bounding five-dimensional bulk space-time with negative cosmological constant, in which distance between branes is not fixed time. Although there are strong arguments to suggest that this should be stabilized present epoch, no such constraints exist for early universe and thus non-static solutions might provide relevant inflationary scenarios. find general solution standard ansatz where foliated by planar-symmetric hypersurfaces. show all cases geometry anti-de Sitter (AdS_5). then geometrical interpretation as embeddings two de (dS_4) surfaces AdS_5, simple physical properties solutions. A notable feature explained analysis two-way communication expanding away from one another possible finite amount time, after can proceed direction only. The picture also shows our class (and related literature) completely general, contrary some claims. derive most AdS_5. This includes novel cosmologies brane tensions constrained have opposite signs. construction naturally generalizes arbitrary FRW on branes.