Gluing constructions for asymptotically hyperbolic manifolds with constant scalar curvature

2007/11/09 by Piotr T. Chruściel, Chrusciel, Piotr T., Delay, Erwann · 1 citation
Mathematics · #Advanced Mathematical Physics Problems #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · doi:10.48550/arxiv.0711.1557

openalex publication_date 2007/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that asymptotically hyperbolic initial data satisfying smallness conditions in dimensions n≥ 3, or fast decay conditions in n≥ 5, or a genericity condition in n≥ 9, can be deformed, by a deformation which is supported arbitrarily far in the asymptotic region, to ones which are exactly Kottler ("Schwarzschild- adS") in the asymptotic region.

Citations

• Über die physikalischen Grundlagen der Einsteinschen Gravitationstheorie

Cited by

• Anti-gravity à la Carlotto-Schoen

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