Gravity in extra dimensions

Theories of gravity in more than the usual four dimensions have recently received great attention, mainly in string and brane inspired models, and in particular some 5D cosmological scenarios in which the extra dimension does not have to be compactified. In particular, several studies in the Randall-Sundrum cosmological model are available:

a study of non-rotating, uncharged black holes ( hep-th/9909205 )
geometry and dynamics on the brane-world ( gr-qc/0101059 )
spherically symmetric stars in the brane-world ( hep-th/0107011 )

Some numerical studies have also been carried out, but so far only generating initial data or integrating data on the brane towards the bulk:

time symmetric initial data for black holes that are spherical on the brane ( hep-th/0007203 )
"evolution" into the bulk of charged black holes ( hep-th/0008177 )
initial data for generally relativistic stars ( hep-th/0111057 )

This issue is also related to the black string, since the latter is a solution to the five dimensional Einstein equation. I am planning to evolve perfect fluid "spherical" stars in this 5D model and try to look for critical phenomena; similar research is being performed for standard 4D General Relativity by Scott Noble, here at the UBC group.

Last modified on 23-Jan-02.