2007/07/09 by Eugen Radu, D. H. Tchrakian, Yisong Yang
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Class (philosophy) #Constant curvature #Cosmology and Gravitation Theories #Curvature #De Sitter universe #Euclidean geometry #Geometry #Instanton #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #astro-ph #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.77.044017
published as Phys.Rev.D77:044017,2008 · 41 pages, 3 figures
arxiv created 2007/07/09 · openalex publication_date 2008/02/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present several different classes of self-dual Yang-Mills instantons in all even d-dimensional backgrounds with Euclidean signature. In d=4p+2 the only solutions we found are on constant curvature dS (de Sitter) and AdS (anti--de Sitter) backgrounds and are evaluated in closed form. In d=4p an interesting class of instantons are given on black hole backgrounds. One class of solutions are (Euclidean) time-independent and spherically symmetric in d\ensuremath-1 dimensions, and the other class are spherically symmetric in all d dimensions. Some of the solutions in the former class are evaluated numerically, all the rest being given in closed form. Analytic proofs of existence covering all numerically evaluated solutions are given. All instantons studied have finite action and vanishing energy momentum tensor and do not disturb the geometry.