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We consider branes N in a Schwarzschild-AdS(n+2) bulk, where the stress energy tensor is dominated by the energy density of a scalar fields map φ : N → S with potential V , where S is a semiRiemannian moduli space. By transforming the field equation appropriately, we get an equivalent field equation that is smooth across the singularity r = 0, and which has smooth and uniquely determined solutions which exist across the singularity in an interval (− , ). Restricting a solution to (− , 0) resp. (0, ), and assuming n odd, we obtain branes N resp. N which together form a smooth hypersurface. Thus a smooth transition from big crunch to big bang is possible both geometrically as well as physically.

Branes, moduli spaces and smooth transition from big crunch to big bang