A No Black Hole Theorem

TL;DR

This paper proves that stationary black holes cannot be contained within certain gravitating flux-tubes, as the flux causes the black hole to grow indefinitely, establishing a no black hole theorem in these contexts.

Contribution

It introduces a new no black hole theorem applicable to flux-tubes in higher-dimensional gravity and string theory, showing black holes cannot be stationary inside these flux configurations.

Findings

Black holes cannot be stationary inside certain flux-tubes.

Flux causes indefinite growth of the black hole.

The restriction applies in higher-dimensional and Kaluza-Klein settings.

Abstract

We show that one cannot put a stationary (extended) black hole inside certain gravitating flux-tubes. This includes an electric flux-tube in five-dimensional Einstein-Maxwell theory, as well as the standard flux-branes of string theory. The flux always causes the black hole to grow indefinitely. One finds a similar restriction in a Kaluza-Klein setting where the higher dimensional spacetime contains no matter.