The asymptotics of stationary electro-vacuum metrics in odd spacetime dimensions

2006/12/16 by Robert Beig, Piotr T. Chruściel, Piotr T Chruściel · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Dimension (graph theory) #Einstein #Einstein equations #Extra dimensions #Space (punctuation) #Spacetime #Stationary spacetime #gr-qc

paper · pdf · doi:10.1088/0264-9381/24/4/007

published as Class.Quant.Grav.24:867-874,2007 · 9 pages, no figures; minor changes, one reference added

arxiv created 2006/12/16 · openalex publication_date 2007/01/19 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We show that stationary, asymptotically flat solutions of the electro-vacuum Einstein equations are analytic at i⁰, for a large family of gauges, in odd space-time dimensions higher than seven. The same is true in space-time dimension five for static vacuum solutions with non-vanishing mass.

Citations

• The mass of an asymptotically flat manifold

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