Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2001-07-06
Class.Quant.Grav. 18 (2001) 5371-5394
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
28 pages, 4 figures, IOP macros (MYIOPART.CLS). Added appendix plus two references. Accepted for publication by Class. Quant.
Scientific paper
10.1088/0264-9381/18/24/304
A basic extension of the exterior part of the extreme Reissner-Nordstroem solution in terms of a continuous metric and gauge potential is constructed. This extension is not smooth at the null hypersurface given by the Cauchy-Killing horizon which separates isometric copies of the exterior metric. The Maxwell-Einstein system of equations is satisfied only in a weak sense. The manifold is topologically incomplete and the spherical symmetry is globally broken down to an axial symmetry. This behaviour can be attributed to the effect of a 'topological string', in the sense of a infinitesimally thin closed stringlike object 'sitting on the rim' of the black hole and holding it open by means of an accompanying impulsive gravitational wave. The resulting differentiable manifold and the corresponding horizons are not anymore simply connected, being 'pierced' by the strings.
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