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Phys. Rev. D 49, 6475–6483 (1994)

Event horizons and apparent horizons in spherically symmetric geometries

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Edward Malec
Physics Department, UCC, Cork, Ireland
Institute of Physics, UJ 30-059 Cracow, Reymonta 4, Poland

Received 15 March 1993; revised 12 July 1993; published in the issue dated 15 June 1994

Spherical configurations that are very massive must be surrounded by apparent horizons. These, in turn, when placed outside a collapsing body, have a fixed area and must propagate outward with a velocity equal to the velocity of radially outgoing photons. That proves, within the framework of the 1+3 formalism and without resorting to the Birkhoff theorem, that apparent horizons coincide with event horizons in an electrovacuum. The existence of the maximal slicing of electrovacuum is proved and an explicit line element is found in the maximal foliation.

© 1994 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.49.6475
DOI:
10.1103/PhysRevD.49.6475
PACS:
04.20.Dw