English

Spherically symmetric spacetimes with a trapped surface

General Relativity and Quantum Cosmology 2009-11-10 v2

Abstract

This paper investigates the global properties of a class of spherically symmetric spacetimes. The class contains the maximal development of asymptotically flat spherically symmetric initial data for a wide variety of coupled Einstein-matter systems. For this class, it is proven here that the existence of a single trapped surface or marginally trapped surface implies the completeness of future null infinity and the formation of an event horizon whose area radius is bounded by twice the final Bondi mass.

Keywords

Cite

@article{arxiv.gr-qc/0403032,
  title  = {Spherically symmetric spacetimes with a trapped surface},
  author = {Mihalis Dafermos},
  journal= {arXiv preprint arXiv:gr-qc/0403032},
  year   = {2009}
}

Comments

14 pages, 8 figures, revised

R2 v1 2026-07-22T12:39:46.721Z