Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2001-02-12
Int.J.Theor.Phys. 35 (1996) 2661-2677
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
16 pages
Scientific paper
Singularities associated with an incomplete space-time (S) are not uniquely defined until a boundary is attached to it. [The resulting space-time-with-boundary will be termed a "total" space-time (TST).] Since an incomplete space-time is compatible with a variety of boundaries, it follows that S does not represent a unique universe but instead corresponds to a family of universes, one for each of the distinct TSTs. It is shown here that the boundary attached to the Reissner-Nordstrom space-time for a point charge is invalid for q^2 < m^2. When the correct boundary is used, the resulting TST is inextendible. This implies that the Graves-Brill black hole cannot be produced by gravitational collapse. The same is true of the Kruskal-Fronsdal black hole for the point mass, and for those black holes which reduce to the latter for special values of their parameters.
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