A. Billyard et Ps. Wesson, CLASS OF EXACT-SOLUTIONS IN 5D GRAVITY AND ITS PHYSICAL-PROPERTIES, Physical review. D. Particles and fields, 53(2), 1996, pp. 731-737
We derive a class of solutions of the held equations of five-dimension
al general relativity that is static and spherically symmetric in ordi
nary three-dimensional space. In the induced-matter picture, where the
extra dimension is responsible for matter in four-dimensional spaceti
me, the solutions represent centrally condensed clouds with density pr
ofiles similar to those of clusters of galaxies. This class of solutio
ns could be used with data on gravitational lensing to look for a fift
h dimension.