Static and Dynamic Charged Black Holes

TL;DR

This paper constructs static and dynamic charged black hole solutions in Einstein-Maxwell-dilaton theories, revealing how scalar fields influence black hole evolution and providing explicit models for charged black hole dynamics.

Contribution

It introduces a reverse engineering approach to derive scalar potentials and couplings, enabling the construction of both static and dynamical charged black holes in general dimensions.

Findings

Static solutions include mass and charge as constants.

Some static solutions are extended to dynamical collapse scenarios.

Collapse solutions show evolution from smaller to larger charged black holes.

Abstract

We consider a class of Einstein-Maxwell-dilaton theories in general dimensions and construct both static and dynamic charged black holes. We adopt the reverse engineering procedure and make a specific ansatz for the scalar field and then derive the necessary scalar potential and the non-minimal coupling function between the scalar and the Maxwell field. The resulting static black holes contain mass and electric charge as integration constants. We find that some of the static solutions can be promoted to become dynamical ones in the Eddington-Finkelstein-like coordinates. The collapse solutions describe the evolution from a smaller charged black hole to a larger black hole state, driven by the scalar field.