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Spherically symmetric spacetimes with a trapped surface

Mihalis Dafermos

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This paper investigates the global properties of a class of spherically symmetric spacetimes. The class contains the maximal development of asymptotically flat (or hyperboloidal) 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 or marginally trapped surface implies the future completeness of future null infinity and the formation of an event horizon whose area radius is bounded by twice the final Bondi mass.


PACS

04.20.Dw Singularities and cosmic censorship

95.30.Sf Relativity and gravitation

04.20.Gz Spacetime topology, causal structure, spinor structure

MSC

83C75 Space-time singularities, cosmic censorship, etc.

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 11 (7 June 2005)

Received 2 November 2004, in final form 21 February 2005

Published 10 May 2005



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