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arXiv · gr-qc/9608006

Classical and Quantum Aspects of 1+1 Gravity

T. Kloesch·P. Schaller·T. Strobl
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Abstract

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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T. Kloesch, P. Schaller, T. Strobl. 1996-08-02. Classical and Quantum Aspects of 1+1 Gravity. https://arxiv.org/abs/gr-qc/9608006

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