Charged gravitational instantons in five-dimensional Einstein-Gauss-Bonnet-Maxwell theory

TL;DR

This paper investigates a five-dimensional Einstein-Gauss-Bonnet-Maxwell theory solution that describes black hole pair production via a gravitational instanton, and explores its dual theory involving a 3-form field.

Contribution

It introduces a novel instanton solution in five-dimensional Einstein-Gauss-Bonnet-Maxwell theory and analyzes its dual formulation with a 3-form field.

Findings

Instanton describes black hole pair production.

Dual theory involves a 3-form field coupled to gravity.

Provides insights into higher-dimensional gravitational instantons.

Abstract

We study a solution of the Einstein-Gauus-Bonnet theory in 5 dimensions coupled to a Maxwell field, whose euclidean continuation gives rise to an instanton describing black hole pair production. We also discuss the dual theory with a 3-form field coupled to gravity.