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AbstractAbstract
[en] In a previous paper with G. Gibbons (1987) we derived a list of three dimensional symmetric space σ-models obtained by dimensional reduction of a class of four dimensional gravity theories with abelian gauge fields and scalars. Here we give a detailed analysis of their group theoretical structure leading to an abstract parametrization in terms of ''triangular'' group elements. This allows for a uniform treatment of all these models. As an interesting application we give a simple derivation of a ''quadratic mass formula'' for strictly stationary black holes. (orig.)
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3D SYMMETRIC SPACE SIGMA-MODELS, 4D GRAVITY, ABELIAN GAUGE FIELDS, BLACK HOLES, DIMENSIONAL REDUCTION, ELEMENTARY PARTICLE GRAVITATIONAL INTERACTIONS, GROUP THEORY, LIE ALGEBRA PARAMETRIZATION, LIE ALGEBRAS, NONLINEAR FIELD THEORY, NONLINEAR SIGMA-MODELS, QUADRATIC MASS FORMULA, SCALARS, SL(2, SO(2, SO(2) GROUPS, STELLAR MASS, STRICTLY STATIONARY BLACK HOLES, SUPERGRAVITY, TRIANGULAR GROUP ELEMENTS
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