Local existence of quasispherical space–time initial data
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Description
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]
Collections | ANU Research Publications |
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Date published: | 2005-04-06 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/15982 |
Source: | Journal of Mathematical Physics |
DOI: | 10.1063/1.1864250 |
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01_Sharples_Local_existence_of_2005.pdf | Published Version | 425.32 kB | Adobe PDF |
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