Pair Creation of Dilaton Black Holes in Extended Inflation

TL;DR

This paper investigates the quantum nucleation of dilatonic black hole pairs during extended inflation, analyzing Euclidean solutions and pair creation rates influenced by dilaton and inflaton fields.

Contribution

It introduces new instanton solutions for dilatonic black hole pair creation in extended inflation and calculates their nucleation rates under various conditions.

Findings

Black hole pairs are abundantly produced near the Planck boundary.

Pair creation is highly suppressed later in inflation.

Earlier black hole creation allows for higher charge accumulation.

Abstract

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