On the boundary of the region containing trapped surfaces
Jos\'e M.M. Senovilla
TL;DR
This paper investigates the boundary of regions with future-trapped surfaces in spacetime, revealing it can differ from known horizons and providing explicit examples in Vaidya spacetime.
Contribution
It identifies properties and localization of the trapped surface boundary, distinct from event or dynamical horizons, with explicit constructions in Vaidya spacetime.
Findings
The boundary of trapped regions can differ from traditional horizons.
Explicit examples of trapped surfaces penetrating flat regions are provided.
Properties and localization of the boundary are analyzed and illustrated.
Abstract
The boundary of the region in spacetime containing future-trapped closed surfaces is considered. In asymptotically flat spacetimes, this boundary does not need to be the event horizon nor a dynamical/trapping horizon. Some properties of this boundary and its localization are analyzed, and illustrated with examples. In particular, fully explicit future-trapped compact surfaces penetrating into flat portions of a Vaidya spacetime are presented.
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