Complete Classification of 1+1 Gravity Solutions

Details Complete Classification of 1+1 Gravity Solutions Complete Classification of 1+1 Gravity Solutions

1997-11-25

arxiv.org/abs/gr-qc/9711073v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

3 pages, LaTeX, 1 figure, Talk presented at the Eighth Marcel Grossmann Meeting (MG8), Jerusalem, June 1997

Scientific paper

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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