Maskit combinations of Poincare-Einstein metrics

2002/11/05 by Rafe Mazzeo, Frank Pacard, Mazzeo, Rafe +1
Mathematics · Physics and Astronomy · #53C25 #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #High Energy Physics - Theory (hep-th) #hep-th #math.DG #msc:53C25

paper · pdf · doi:10.48550/arxiv.math/0211099

26 pages (slight changes to bibliography)

openalex publication_date 2002/11/05 · arxiv created 2002/11/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish a boundary connected sum theorem for asymptotically hyperbolic Einstein metrics; this requires no nondegeneracy hypothesis. We also show that if the two metrics have scalar positive conformal infinities, then the same is true for this boundary join.

Citations

• Thermodynamics of black holes in anti-de Sitter space
• Boundary regularity, uniqueness and non-uniqueness for AH Einstein metrics on 4-manifolds

Related

• Einstein metrics on strictly pseudoconvex domains from the viewpoint of bulk-boundary correspondence
• Formal theory of cornered asymptotically hyperbolic Einstein metrics
• Boundary regularity, uniqueness and non-uniqueness for AH Einstein metrics on 4-manifolds
• Continuation unique a partir de l'infini conforme pour les metriques d'Einstein
• Einstein metrics with anisotropic boundary behaviour