2011/04/26 by Josef Lindman Hörnlund
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Boundary (topology) #Circular symmetry #Horizon #Pulsars and Gravitational Waves Research #Scalar (mathematics) #Scalar field #Sigma #Sigma model #Symmetry (geometry) #hep-th
paper · pdf · doi:10.1007/jhep08(2011)090
8 pages
arxiv created 2011/04/26 · openalex publication_date 2011/08/01 · arxiv updated 2015/05/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Breitenlohner, Maison and Gibbons claimed some time ago that all bona-fide four dimensional asymptotically flat non-degenerate black holes are in a symmetry orbit of the Schwarzschild/Kerr black hole in a large set of theories of gravity and matter. Their argument involved reducing the theory on a time-like Killing vector field and analysing the resulting three dimensional sigma model of maps to a symmetric space G/H. In the construction of their proof, they conjectured the existence of a suitable H-transformation that always remove the electromagnetic charges of the four dimensional black hole solution. We show in this short note that such a transformation does not exist in general, and discuss a set of boundary conditions on the horizon for the scalar fields in the sigma model that yield black holes for which the result by Breitenlohner, Maison and Gibbons can be applied.