Gravitational Localization of All Local Fields on the Brane

TL;DR

This paper introduces a new higher-dimensional brane solution that localizes all fields on the brane via gravity alone, without requiring a warp factor, extending previous models to arbitrary dimensions.

Contribution

It generalizes a known string-like defect solution to arbitrary dimensions and demonstrates gravitational localization of all local fields without a warp factor.

Findings

All local fields are gravitationally localized on the brane.

The solution works in arbitrary space-time dimensions.

It does not rely on a warp factor for localization.

Abstract

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.