Many-Brane Extention of the Randall-Sundrum Solution

TL;DR

This paper extends the Randall-Sundrum model by constructing static and inflationary solutions with multiple 3-branes in five dimensions, offering new insights into solving the hierarchy problem.

Contribution

It introduces a generalized multi-brane extension of the Randall-Sundrum solution, including inflationary scenarios, with arbitrary brane positions in a compactified fifth dimension.

Findings

Constructed static and inflationary solutions with multiple branes.

Demonstrated how the hierarchy problem can be addressed in the extended model.

Allowed arbitrary placement of branes in the extra dimension.

Abstract

Recently, Randall and Sundrum proposed a static solution to Einstein's equations in five spacetime dimensions with two 3-branes located at the fixed points of $S^1/Z_2$ to solve the hierarchy problem. We extend the solution and construct static and also inflationary solutions to Einstein's equations in five spacetime dimensions, one of which is compactified on $S^1$, with any number of 3-branes whose locations are taken to be arbitrary. We discuss how the hierarchy problem can be explained in our model.