Explicit Global Coordinates for Schwarzschild and Reissner-Nordstroem

Details Explicit Global Coordinates for Schwarzschild and Reissner-Nordstroem Explicit Global Coordinates for Schwarzschild and Reissner-Nordstroem

1995-07-05

arxiv.org/abs/gr-qc/9507011v3

Class.Quant.Grav. 13 (1996) 1191-1200

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, 3 Postscript figures, sign error in Eq. (37) and below corrected, references and Note added; to appear in Class. Qua

Scientific paper

10.1088/0264-9381/13/5/029

We construct coordinate systems that cover all of the Reissner-Nordstroem solution with m>|q| and m=|q|, respectively. This is possible by means of elementary analytical functions. The limit of vanishing charge q provides an alternative to Kruskal which, to our mind, is more explicit and simpler. The main tool for finding these global charts is the description of highly symmetrical metrics by two-dimensional actions. Careful gauge fixing yields global representatives of the two-dimensional theory that can be rewritten easily as the corresponding four-dimensional line elements.

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