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References
K. S. Thorne: article inMagis without Magic-John Archibald Wheeler LX Anniversary Volume, edited byJ. R. Klauder (San Francisco, 1972).
E. P. T. Liang:Some exact models of inhomogeneous dust collapse, preprint Feb. 1973, submitted toPhys. Rev.
S. Hawking:Lectures in Les Houches Summer School, 1972 (unpublished).
E. P. T. Liang: unpublished.
E. P. T. Liang:Local structure of space-time singularity and gravitational collapse, to appear.
At present, it is unclear how to define invariantly the «slices» that we want. In the 3-hypersurfaces are noncompact and have topologyUxR, whereU may beSxR, R 2, S2,orS 2 with any number of «handles», which seem to apply to all known cases, we want to pick out those 2-slices which have topologyU and are in some sense «orthogonal» to theR dimension. One way may be to pick out those 2-manifolds which divide the 3-manifold into two noncompact sets, and, if they are compact, have the smallest number of «handles».
E. T. Newman andR. Posadas:Phys. Rev.,187, 1784 (1969);Journ. Math. Phys.,12, 2319 (1971).
E. T. Newman, E. Couch, K. Chinnapared, A. Exton, A. Prakash andR. Torrence:Journ. Math. Phys.,6, 918 (1965).
H. Curzon:Proc. Lond. Math. Soc.,23, 447 (1924).
A. Z. Petrov:Einstein Spaces (London, 1969), p. 370.
S. Hawking:Proc. Roy. Soc., A294, 511 (1966); A300, 187 (1967).
R. Penrose: private communication.
C. C. Lin, L. Mestel andF. H. Shu:Astrophys. Journ.,142, 1431 (1965).
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Supported in part by NSF Grant GP 34639X.
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Liang, E.P.T. A note on black hole and naked singularity. Lett. Nuovo Cimento 7, 599–602 (1973). https://doi.org/10.1007/BF02728033
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DOI: https://doi.org/10.1007/BF02728033