Classical and Quantum Gravity in 1+1 Dimensions, Part III: Solutions of Arbitrary Topology
arXiv:hep-th/9607226 · doi:10.1088/0264-9381/14/7/009
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.
39 pages, 22 figures, uses AMSTeX, extended version of former chapter 7 (Gravitational Kinks) now available as gr-qc/9707053, problem with figure 6 fixed
References in corpus (5)
Cited by in corpus (45)
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