Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-07-30
Class.Quant.Grav. 18 (2001) 5239-5248
Physics
High Energy Physics
High Energy Physics - Theory
Typographical error correction for publication. 16 pages, 4 figures
Scientific paper
10.1088/0264-9381/18/23/317
Properties of the domain wall (kink) solution in the 5 dimensional Randall-Sundrum model are examined both {\it analytically} and {\it numerically}. The configuration is derived by the bulk Higgs mechanism. We focus on 1) the convergence property of the solution, 2) the stableness of the solution, 3) the non-singular property of the Riemann curvature, 4) the behaviours of the warp factor and the Higgs field. It is found that the bulk curvature changes the sign around the surface of the wall. We also present some {\it exact} solutions for two simple cases: a) the no potential case, b) the cosmological term dominated case. Both solutions have the (naked) curvature singularity. We can regard the domain wall solution as a singularity resolution of the exact solutions.
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