Trapped surfaces in spherical stars

Details Trapped surfaces in spherical stars Trapped surfaces in spherical stars

Sep 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrvl..61.1147b&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 61, Sept. 5, 1988, p. 1147-1150.

Astronomy and Astrophysics

Astrophysics

45

Astrophysics, Black Holes (Astronomy), Gravitational Collapse, Schwarzschild Metric, Spheres, Stellar Evolution, Einstein Equations, Hamiltonian Functions, Trapping

Scientific paper

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.

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