Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-07-13
Phys.Lett.B571:235-244,2003
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, no figures, Latex
Scientific paper
10.1016/j.physletb.2003.07.076
We present a new $(p - 1)$-brane solution to Einstein's equations in a general space-time dimension. This solution is a natural generalization of the stringlike defect solution with codimension 2 in 6 space-time dimensions, which has been recently discovered by Gogberashvili and Singleton, to a general $(p - 1)$-brane solution with codimension $n$ in general $D = p + n$ space-time dimensions. It is shown that all the local fields are localized on the brane only through the gravitational interaction although this solution does not have a warp factor and takes a finite value in the radial infinity. Thus, this solution is a solution in an arbitrary space-time dimension realizing the idea of "gravitational trapping" of the whole bulk fields on the brane within the framework of a local field theory. Some problems associated with this solution and localization are pointed out.
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