Pair Creation of Dilaton Black Holes in Extended In ation

Dilatonic Charged Nariai instantons mediate the nucleation of black hole pairs during extended chaotic in ation. Depending on the dilaton and in aton elds, the black holes are described by one of two approximations in the Lorentzian regime. For each case we nd Euclidean solutions that satisfy the no boundary proposal. The complex initial values of the dilaton and in aton are determined, and the pair creation rate is calculated from the Euclidean action. Similar to standard in ation, black holes are abundantly produced near the Planck boundary, but highly suppressed later on. An unusual feature we nd is that the earlier in in ation that the dilatonic black holes are created, the more highly charged they can be. [email protected]