All universal coverings of two-dimensional gravity with torsion.

Details All universal coverings of two-dimensional gravity with torsion. All universal coverings of two-dimensional gravity with torsion.

Feb 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993jmp....34..700k&link_type=abstract

Journal of Mathematical Physics, Vol. 34, No. 2, p. 700 - 736

Mathematics

Mathematical Physics

30

Scientific paper

Global solutions of two-dimensional gravity with torsion are found and elucidated. The model admits complete analysis of possible maximally continued space-times by means of Penrose's diagrams. There are 13 types of orientable universal coverings. For zero cosmological constant there is flat two-dimensional Minkowskian space-time. For nonzero cosmological constant the universal covering of zero torsion covers one-sheet hyperboloid with Lorenzian metric of constant curvature. All other universal coverings are the surfaces of nonzero torsion and nonconstant curvature. The global solutions include surfaces of a black hole configuration.

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