1998/05/30 by Peter Breitenlohner, P. Breitenlohner, Dieter Maison · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #gr-qc
paper · pdf · doi:10.1007/s002200050038
published as Commun.Math.Phys. 209 (2000) 785-810 · 33 pages, 1 table
arxiv created 1998/05/30 · openalex publication_date 2000/02/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In a previous paper with Gibbons [CMP 120 (1987) 295] we derived a list of three dimensional symmetric space σ-model 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.