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

Preprint

13 August 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9607226

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.

Keywords

SOLUTIONS OF ARBITRARY
ARBITRARY TOPOLOGY
GLOBAL SOLUTIONS
QUANTUM GRAVITY
GRAVITY MODELS
CLASSIFICATION
TOPOLOGY
PART III
MODELS

All Related Versions

Version 1, 1996-07-30, ArXiv
Version 2, 1997-08-12, ArXiv
Version 3, 1997-08-13, ArXiv
Published version: Classical and Quantum Gravity, 14 (7), 1689.

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