Alternative SpaceTime for the Point Mass
Abstract
Schwarzschild's actual exterior solution (Gs) is resurrected and together with the manifold M is shown to constitute a spacetime possessing all the properties historically thought to be required of a point mass. On the other hand, the metric that today is ascribed to Schwarzschild, but which was in fact first obtained by Droste and Weyl, is shown to give rise to a spacetime that is neither equivalent to Schwarzschild's nor derivable from the "historical" properties of a point mass. Consequently, the pointmass interpretation of the KruskalFronsdal spacetime (Mw, Gkf) can no longer be justified on the basis that it is an extension of Droste and Weyl's spacetime. If such an interpretation is to be maintained, it can only be done by showing that the properties of (Mw, Gkf) are more in accord with what a pointmass spacetime should possess than those of (M, Gs). To do this, one must first explain away three seeming incongruities associated with (Mw, Gkf): its global nonstationarity, the twodimensional nature of the singularity, and the fact that for a finite interval of time it has no singularity at all. Finally, some of the consequences of choosing (M,Gs) as a model of a pointmass are discussed.
 Publication:

arXiv eprints
 Pub Date:
 January 2002
 arXiv:
 arXiv:grqc/0201044
 Bibcode:
 2002gr.qc.....1044A
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 11 pages