Global Solutions in Gravity. Lorentzian signature

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.

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

References in corpus (3)

• String Model with Dynamical Geometry and Torsion
• On the Completeness of the Black Hole Singularity in 2d Dilaton Theories
• Geometric Interpretation and Classification of Global Solutions in Generalized Dilaton Gravity

Cited by in corpus (4)

• Inside the BTZ black hole
• Global properties of warped solutions in General Relativity with electromagnetic field and cosmological constant
• Global properties of warped solutions in General Relativity with an electromagnetic field and a cosmological constant. II
• Global solutions in gravity. Euclidean signature