Global Solutions in Gravity. Lorentzian signature

Details Global Solutions in Gravity. Lorentzian signature Global Solutions in Gravity. Lorentzian signature

1999-07-27

arxiv.org/abs/gr-qc/9907088v1

Proc.Steklov Inst.Math.228:158-183,2000; Trudy Steklov Mat.Inst.228:168-195,2000

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

30 pages, 9 figures, to be published in Bogolubov's memorial volume

Scientific paper

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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