Exact models of charged black holes: I. Geometry of totally geodesic null hypersurface

Details Exact models of charged black holes: I. Geometry of totally geodesic null hypersurface Exact models of charged black holes: I. Geometry of totally geodesic null hypersurface

Mar 1973

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1973cmaph..34...37h&link_type=abstract

Communications in Mathematical Physics, Volume 34, Issue 1, pp.37-52

Mathematics

Mathematical Physics

12

Scientific paper

Inner geometry and embedding formulas for a totally geodesic null hypersurface ℳ in an electrovacuum space-time are given. The structure of all possible symmetry groups of the geometry is described in case that the space-like sections ℊ and ℳ are compact orientable surfaces and ℳ is, topologically, ℊ × R 1. The result is MediaObjects/220_2005_BF01646541_f1.tif , where MediaObjects/220_2005_BF01646541_f2.tif are the well-known isometry groups of ℊ, and ℋ is an at most two-dimensional group acting along rays, which is fully specified in the paper. It is not shown that all these symmetry types exist, but this will be done in the next papers where all horizons of a given symmetry type will be explicitly written down.

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