Extended geometry of black holes
Abstract
We reconsider spacetime singularities in classical Einsteinian general relativity: with the help of several new coordinate systems we show that the Schwarzschild solution can be extended beyond the curvature singularity at r=0. The extension appears as an infinite covering of standard Kruskal spacetime. While the twodimensional reduction of this infinite sequence of KruskalSzekeres domains obtained by suppressing the angular degrees of freedom is still a topological manifold  albeit one for which the metric structure is singular on onedimensional submanifolds  we obtain for the full fourdimensional geometry the more general structure of a stratified variety.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 January 1995
 DOI:
 10.1088/02649381/12/1/015
 arXiv:
 arXiv:grqc/9407006
 Bibcode:
 1995CQGra..12..173P
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 9pp. (A4) LaTeX, epsf.sty, 1 figure, appended as a compressed and uuencoded postscript file, NIKHEFH/9403