Charged Nariai Black Holes With a Dilaton

TL;DR

This paper explores the properties and solution space of charged Nariai black holes in dilatonic theories, highlighting differences from non-dilatonic cases and conditions for their existence.

Contribution

It characterizes the solution space of charged Nariai black holes in dilatonic theories with various potentials, including massive dilaton, and discusses their pair creation possibilities.

Findings

Solution space structure depends on dilaton coupling constants.

Existence conditions for charged Nariai solutions are established.

Differences from non-dilatonic black holes are analyzed.

Abstract

The Reissner-Nordstrom-de Sitter black holes of standard Einstein-Maxwell theory with a cosmological constant have no analogue in dilatonic theories with a Liouville potential. The only exception are the solutions of maximal mass, the Charged Nariai solutions. We show that the structure of the solution space of the Dilatonic Charged Nariai black holes is quite different from the non-dilatonic case. Its dimensionality depends on the exponential coupling constants of the dilaton. We discuss the possibility of pair creating such black holes on a suitable background. We find conditions for the existence of Charged Nariai solutions in theories with general dilaton potentials, and consider specifically a massive dilaton.