2004/01/19 by M. Eric Anderson, M. Anderson, Anderson, M. +6
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th #math.DG
paper · pdf · doi:10.48550/arxiv.gr-qc/0401081
Proceedings of the Strasbourg Meeting on AdS-CFT correspondence, O.Biquard, V.Turaev, Eds., IRMA Lectures in Mathematics and Theoretical Physics, de Gruyter, Berlin, New York, in press; latex2e, 39 pages in A4; minor corrections
openalex publication_date 2004/01/19 · arxiv created 2005/01/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that the recent work of Lee [23] implies existence of a large class of new singularity-free strictly static Lorentzian vacuum solutions of the Einstein equations with a negative cosmological constant. This holds in all space-time dimensions greater than or equal to four, and leads both to strictly static solutions and to black hole solutions. The construction allows in principle for metrics (whether black hole or not) with Yang-Mills-dilaton fields interacting with gravity through a Kaluza-Klein coupling.