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Complete Classification of 1+1 Gravity Solutions

T. Kloesch·T. Strobl
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Abstract

A classification of the maximally extended solutions for 1+1 gravity models (comprising e.g. generalized dilaton gravity as well as models with non-trivial torsion) is presented. No restrictions are placed on the topology of the arising solutions, and indeed it is found that for generic models solutions on non-compact surfaces of arbitrary genus with an arbitrary non-zero number of holes can be obtained. The moduli space of classical solutions (solutions of the field equations with fixed topology modulo gauge transformations) is parametrized explicitly.

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T. Kloesch, T. Strobl. 1997-11-25. Complete Classification of 1+1 Gravity Solutions. https://arxiv.org/abs/gr-qc/9711073

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