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Global Solutions in Gravity. Lorentzian signature

M. O. Katanaev
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Abstract

The constructive method of conformal blocks is developed for the construction of global solutions for two-dimensional metrics having one Killing vector. The method is proved to yeild a smooth universal covering space with a smooth pseudo-Riemannian metric. The Schwarzschild, Reisner--Nordstrom solutions, extremal black hole, dilaton black hole, and constant curvature surfaces are considered as examples.

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M. O. Katanaev. 1999-07-27. Global Solutions in Gravity. Lorentzian signature. https://arxiv.org/abs/gr-qc/9907088

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