On the asymptotics for the vacuum Einstein constraint equations

DSpace/Manakin Repository

On the asymptotics for the vacuum Einstein constraint equations

Show simple item record


dc.contributor.author Corvino, Justin
dc.contributor.author Schoen, R. M.
dc.date.accessioned 2012-02-28T19:30:36Z
dc.date.available 2012-02-28T19:30:36Z
dc.date.issued 2006-06
dc.identifier.citation Corvino, J. and R. M. Schoen. (2006) "On the asymptotics for the vacuum Einstein constraint equations." Journal of Differential Geometry 73 (2): 185-217. en_US
dc.identifier.uri http://hdl.handle.net/10385/929
dc.description.abstract In this paper we prove density of asymptotically flat solutions with special asymptotics in general classes of solutions of the vacuum constraint equations. The first type of special asymptotic form we consider is called harmonic asymptotics. This generalizes in a natural way the conformally flat asymptotics for the K = 0 constraint equations. We show that solutions with harmonic asymptotics form a dense subset (in a suitable weighted Sobolev topology) of the full set of solutions. An important feature of this construction is that the approximation allows large changes in the angular momentum. The second density theorem we prove allows us to approximate asymptotically flat initial data on a-three-manifold M for the vacuum Einstein field equation by solutions which agree with the original data inside a given domain, and are identical to that of a suitable Kerr slice (or identical to a member of some other admissible family of solutions) outside a large ball in a given end. The construction generalizes work in [C], where the time-symmetric (K = 0) case was studied. en_US
dc.publisher Journal of Differential Geometry en_US
dc.title On the asymptotics for the vacuum Einstein constraint equations en_US
dc.type Article en_US

Files in this item

Files Size Format View
Corvino-Journal ... ialGeometry-vol73-2006.pdf 315.1Kb PDF View/Open

This item appears in the following Collection(s)

Show simple item record

Search LDR


Advanced Search

Browse

My Account