Gluing constructions for asymptotically hyperbolic manifolds with constant scalar curvature

Details Gluing constructions for asymptotically hyperbolic manifolds with constant scalar curvature Gluing constructions for asymptotically hyperbolic manifolds with constant scalar curvature

2007-11-09

arxiv.org/abs/0711.1557v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

various minor changes and corrections

Scientific paper

We show that asymptotically hyperbolic initial data satisfying smallness
conditions in dimensions $n\ge 3$, or fast decay conditions in $n\ge 5$, or a
genericity condition in $n\ge 9$, 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.

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