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Local existence of quasispherical space–time initial data

Sharples, Jason


We consider the system of Einstein constraint equations in the special case when the spacelike 3-manifold is assumed to satisfy the quasispherical ansatz of Bartnik. We introduce two different time slicing conditions, under each of which we may view the resulting constraint equations as a parabolic∕elliptic∕ODE system of partial differential equations. We combine recent existence results for parabolic equations in Sobolev space with an iterative method to prove local existence results for the...[Show more]

CollectionsANU Research Publications
Date published: 2005-04-06
Type: Journal article
Source: Journal of Mathematical Physics
DOI: 10.1063/1.1864250


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