Randall-Sundrum model: Encyclopedia II - Randall-Sundrum model - The RS1 model

Randall-Sundrum model - The RS1 model

The RS1 model attempts to address the hierarchy problem. The warping of the extra dimension is analogous to the warping of spacetime in the vicinity of a massive object, such as a black hole. This warping, or red-shifting, generates a large ratio of energy scales so that the natural energy scale at one end of the extra dimension is much larger than at the other end.

where k is some constant and η has "−+++" metric signature. This space has boundaries at y = 1/k and y = 1/Wk, with where k is around the Planck scale and W is the warp factor and Wk is around a TeV. The boundary at y = 1/k is called the Planck brane and the boundary at y = 1/Wk is called the TeV brane. The particles of the standard model reside on the TeV brane. The distance between both branes is only −ln(W)/k, though.

In another coordinate system,

so that

and

Adapted from the Wikipedia article "The RS1 model", under the G.N U Free Docmentation License. Please also see http://en.wikipedia.org/wiki