The Globally Trapped Future: A Fate for Black Holes and Wormholes

TL;DR

This paper develops a framework for deriving spherically symmetric metrics involving scalar and electromagnetic fields, classifies possible spacetime fates including a new 'globally trapped' outcome, and introduces the concept of an 'Endless Throat' in black holes.

Contribution

It introduces a novel method for deriving metrics and classifies spacetime evolutions, revealing a new 'globally trapped' fate and proposing the 'Endless Throat' concept in black hole physics.

Findings

Classified three distinct spacetime fates based on trapping horizons.

Demonstrated the existence of a globally trapped future as a new theoretical possibility.

Proposed the concept of an Unattainable Minimal Throat, or 'Endless Throat', in black holes.

Abstract

We demonstrate, for the first time, that arbitrary spherically symmetric metrics can be derived within a framework based on the coupling of two scalar fields and an electromagnetic field. We then specialize to a class of non-stationary spacetimes characterized by analytically tractable global causal structure and trapping horizons, which is particularly suited for investigating black holes and wormholes. Within this framework, we find that the fate of spacetime can be categorized into three distinct classes: those without a globally trapped future; those without a globally trapped future but containing bounded, Cauchy-foliated trapped regions; and those with a future that becomes completely trapped. The evolution of a geometrically Schwarzschild-like black hole and a horizonless wormhole demonstrates these possible fates, thus revealing the globally trapped outcome as a novel theoretical possibility. Finally, we propose that a regular black hole may contain an Unattainable Minimal Throat -- a minimal-radius throat that is causally unreachable -- and refer to it henceforth as the Endless Throat.