2008/04/30 by Nora Bretón, N. Bretón, A. Feinstein +2 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.77.124021
published as Phys.Rev.D77:124021,2008 · 37 pages, 16 (ps, eps) figures. Minor changes: some references and acknowledgments added. Fits the printed version to appear in Pys. Rev. D
arxiv created 2008/05/05 · openalex publication_date 2008/06/16 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We show how one can systematically construct vacuum solutions to Einstein field equations with D\ensuremath-2 commuting Killing vectors in D>4 dimensions. The construction uses Einstein-scalar field seed solutions in four dimensions and is performed both for the case when all the Killing directions are spacelike, as well as when one of the Killing vectors is timelike. The later case corresponds to generalizations of stationary axially symmetric solutions to higher dimensions. Some examples representing generalizations of known higher dimensional stationary solutions are discussed in terms of their rod structure and horizon locations and deformations.