The Total SpaceTime of a Point Charge and Its Consequences for Black Holes
Abstract
Singularities associated with an incomplete spacetime (S) are not uniquely defined until a boundary is attached to it. [The resulting spacetimewithboundary will be termed a "total" spacetime (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 the distinct TSTs. It is shown here that the boundary attached to the ReissnerNordstrom spacetime 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 GravesBrill black hole cannot be produced by gravitational collapse. The same is true of the KruskalFronsdal black hole for the point mass, and for those black holes which reduce to the latter for special values of their parameters.
 Publication:

arXiv eprints
 Pub Date:
 February 2001
 arXiv:
 arXiv:grqc/0102054
 Bibcode:
 2001gr.qc.....2054A
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 16 pages