A black hole with no marginally trapped tube asymptotic to its event horizon

TL;DR

This paper constructs a spherically symmetric black hole interior model with no marginally trapped tube asymptotic to the event horizon, using a scalar field that remains bounded below by a positive constant.

Contribution

It provides a novel example of a black hole interior where the usual marginally trapped tube does not approach the event horizon, challenging existing assumptions.

Findings

No marginally trapped tube asymptotic to the event horizon in the constructed model

Scalar field remains bounded below by a positive constant along the horizon

Demonstrates the possibility of black hole interiors without typical trapped surfaces

Abstract

We construct an example of a spherically symmetric black hole interior in which there is NO (spherically symmetric) marginally trapped tube asymptotic to the event horizon. The construction uses a self-gravitating massive scalar field matter model, and the key condition we impose is that the scalar field $\phi$ be bounded below by a positive constant along the event horizon.