2006/05/04 by Jerzy Lewandowski, Tomasz Pawłowski, Tomasz Pawlowski
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #gr-qc
paper · pdf · doi:10.1088/0264-9381/23/20/022
published as Class.Quant.Grav. 23 (2006) 6031-6058 · Revtex4, 36 pages
arxiv created 2006/05/04 · openalex publication_date 2006/09/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
Symmetric non-expanding horizons are studied in arbitrary dimension. The global properties -as the zeros of infinitesimal symmetries- are analysed particularly carefully. For the class of NEH geometries admitting helical symmetry a quasi-local analogue of Hawking's rigidity theorem is formulated and proved: the presence of helical symmetry implies the presence of two symmetries: null, and cyclic. The results valid for arbitrary-dimensional horizons are next applied in a complete classification of symmetric NEHs in 4-dimensional spacetimes (the existence of a 2-sphere crossection is assumed). That classification divides possible NEH geometries into classes labelled by two numbers—the dimensions of, respectively, the group of isometries induced in the horizon base space and the group of null symmetries of the horizon.