Pair creation of higher dimensional black holes on a de Sitter background

TL;DR

This paper investigates the quantum process of creating pairs of higher-dimensional black holes in de Sitter space, revealing that creation becomes easier as the number of dimensions increases, with rates derived from instanton solutions.

Contribution

It provides the first detailed analysis of higher-dimensional black hole pair creation in de Sitter space using instanton methods, extending known 4D results.

Findings

Pair creation rates increase with spacetime dimension.

Analytic solutions are obtained from Tangherlini black holes.

The process reduces to known 4D cases when D=4.

Abstract

We study in detail the quantum process in which a pair of black holes is created in a higher D-dimensional de Sitter (dS) background. The energy to materialize and accelerate the pair comes from the positive cosmological constant. The instantons that describe the process are obtained from the Tangherlini black hole solutions. Our pair creation rates reduce to the pair creation rate for Reissner-Nordstrom-dS solutions when D=4. Pair creation of black holes in the dS background becomes less suppressed when the dimension of the spacetime increases. The dS space is the only background in which we can discuss analytically the pair creation process of higher dimensional black holes, since the C-metric and the Ernst solutions, that describe respectively a pair accelerated by a string and by an electromagnetic field, are not know yet in a higher dimensional spacetime.