2000/09/08 by Aharon Davidson, Davidson, Aharon, Philip D. Mannheim +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0009064
RevTeX, 9 pages. (updated version v2 with references to prior work, conclusions unchanged)
arxiv created 2000/10/23 · arxiv updated 2009/11/30
We show that the thin wall limit of the thick domain wall associated with a sine-Gordon soliton in a single non-compactified patch of 5-dimensional spacetime explicitly yields the Randall-Sundrum localized gravity two patch brane, with its discrete Z2 symmetry arising from the discrete symmetry of the potential, and with the thin Minkowski brane Λ5+κ25Λ2b/6=0 relation between bulk and brane cosmological constants arising naturally without any need for fine tuning. Additionally we show that for an embedded thin de Sitter brane, localization of gravity is again possible provided the 5-space is compactified, with the now non-zero net cosmological constant Λ5+κ25Λ2b/6 on the brane being found to vary inversely with the compactification radius.