Classical and Quantum Aspects of 1+1 Gravity

Details Classical and Quantum Aspects of 1+1 Gravity Classical and Quantum Aspects of 1+1 Gravity

1996-08-02

arxiv.org/abs/gr-qc/9608006v1

Helv.Phys.Acta 69:305-308,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, LaTex, 1 figure; contribution to Journees Relativistes 1996

Scientific paper

We present a classification of all global solutions (with Lorentzian signature) for any general 2D dilaton gravity model. For generic choices of potential-like terms in the Lagrangian one obtains maximally extended solutions on arbitrary non-compact two-manifolds, including various black-hole and kink configurations. We determine all physical quantum states in a Dirac approach. In some cases the spectrum of the (black-hole) mass operator is found to be sensitive to the signature of the theory, which may be relevant in view of current attempts to implement a generalized Wick-rotation in 4D quantum gravity.

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