Trapped surfaces in spherical stars

The conditions under which a spherically symmetric star will collapse to a black hole are considered analytically, with a focus on the local property known as a trapped surface, defined as a closed two-surface from which, at any instant of time, outgoing light rays are convergent. Necessary and suff...

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Bibliographic Details
Published in:Physical review letters 1988-09, Vol.61 (10), p.1147-1150
Main Authors: BIZON, P, MALEC, E, O'MURCHADHA, N
Format: Article
Language:English
Subjects:
Astronomy
Earth, ocean, space
Exact sciences and technology
Fundamental aspects of astrophysics
Fundamental astronomy and astrophysics. Instrumentation, techniques, and astronomical observations
Relativity and gravitation
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Summary:The conditions under which a spherically symmetric star will collapse to a black hole are considered analytically, with a focus on the local property known as a trapped surface, defined as a closed two-surface from which, at any instant of time, outgoing light rays are convergent. Necessary and sufficient conditions for the existence of trapped surfaces in spherically symmetric space-times are derived, and their implications for the cosmic- censorship hypothesis are explored. It is shown that both the degree of concentration and the average matter flow determine whether trapped surfaces can form. (T.K.)
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.61.1147