Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1997-09-24
Phys.Rev. D56 (1997) 7658-7665
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
16 pages, revtex, to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.56.7658
We establish sufficient conditions for the appearance of apparent horizons in spherically symmetric initial data when spacetime is foliated extrinsically. Let $M$ and $P$ be respectively the total material energy and the total material current contained in some ball of radius $\ell$. Suppose that the dominant energy condition is satisfied. We show that if $M- P \ge \ell$ then the region must possess a future apparent horizon for some non -trivial closed subset of such gauges. The same inequality holds on a larger subset of gauges but with a larger constant of proportionality which depends weakly on the gauge. This work extends substantially both our joint work on moment of time symmetry initial data as well as the work of Bizon, Malec and \'O Murchadha on a maximal slice.
Guven Jemal
Murchadha Niall O'
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