Thick domain wall in higher-dimensional spacetime

An exact solution is obtained for a thick, non-static domain wall in higher-dimensional spacetime. The spacetime is nonsingular both in its spatial and temporal behaviour and encouraging to point out that as time evolves the extra dimension exhibits the desirable feature of dimensional reduction. Further, unlike the case of Goetz, the gravitational field of the wall is attractive. It is also found that there exists no particle horizon in this case