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arXiv · hep-th/9607226

Classical and Quantum Gravity in 1+1 Dimensions, Part III: Solutions of Arbitrary Topology

T. Kloesch·T. Strobl
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Abstract

All 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.

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T. Kloesch, T. Strobl. 1997-08-13. Classical and Quantum Gravity in 1+1 Dimensions, Part III: Solutions of Arbitrary Topology. https://doi.org/10.1088/0264-9381%2F14%2F7%2F009

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