The total space-time of a point charge and its consequences for black holes

Details The total space-time of a point charge and its consequences for black holes The total space-time of a point charge and its consequences for black holes

Dec 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996ijtp...35.2661a&link_type=abstract

International Journal of Theoretical Physics, Volume 35, Issue 12, pp.2661-2677

Physics

2

Scientific paper

Singularities associated with an incomplete space-time S are not uniquely defined until a boundary B is attached to it. [The resulting space-time-with-boundary, ¯ S ≡ S ∪ B, will be termed a ‘total’ space-time (TST).] Since an incomplete spacetime 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 its distinct TSTs. It is shown here that the boundary attached to the Reissner-Nordström 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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