Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2001-02-12
Physica A227 (1996) 131-140
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
9 pages
Scientific paper
Singularities associated with an incomplete space-time (S) are not well-defined until a boundary is attached to it. Moreover, each boundary gives rise to a different singularity structure for the resulting total space-time (TST). Since S is compatible with a variety of boundaries, it therefore does not represent a unique universe, but instead corresponds to a family of universes, one for each possible boundary. It is shown that in the case of Weyl's space-time for a point-mass with nonzero cosmological constant, the boundary which he attached is invalid, and when the correct one is attached, the resulting TST is inextendible. This implies that the Lake-Roeder black hole cannot be produced by gravitational collapse.
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