Slowly Varying Dilaton Cosmologies and their Field Theory Duals

Understand

We consider a deformation of the $AdS_5\times S^5$ solution of IIB supergravity obtained by taking the boundary value of the dilaton to be time dependent.

• The time dependence is taken to be slowly varying on the AdS scale thereby introducing a small parameter $\epsilon$.
• The boundary dilaton has a profile which asymptotes to a constant in the far past and future and attains a minimum value at intermediate times.
• We construct the sugra solution to first non-trivial order in $\epsilon$, and find that it is smooth, horizon free, and asymptotically $AdS_5\times S^5$ in the far future.