We extend previous analyses of soliton solutions in (4 + 1) gravity to new
ranges of their defining parameters. The geometry, as studied using invaria
nts, has the topology of wormholes found in (3 + 1) gravity. In the induced
-matter picture, the fluid does not satisfy the strong energy conditions, b
ut its gravitational mass is positive. We infer the possible existence of (
4 + 1) which, compared to their (3 + 1) counterparts, are less exotic.