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26 April 2024
 
  » arxiv » hep-th/9607226

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Classical and Quantum Gravity in 1+1 Dimensions, Part III: Solutions of Arbitrary Topology
T. Kloesch ; T. Strobl ;
Date 30 Jul 1996
Journal Class.Quant.Grav. 14 (1997) 1689-1723
Subject hep-th gr-qc
AbstractAll global solutions of arbitrary topology of the most general 1+1 dimensional dilaton gravity models are obtained. We show that for a generic model there are globally smooth solutions on any non-compact 2-surface. The solution space is parametrized explicitly and the geometrical significance of continuous and discrete labels is elucidated. As a corollary we gain insight into the (in general non-trivial) topology of the reduced phase space. The classification covers basically all 2D metrics of Lorentzian signature with a (local) Killing symmetry.
Source arXiv, hep-th/9607226
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