Local existence of quasispherical space–time initial data
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|
|Source:||Journal of Mathematical Physics|
|01_Sharples_Local_existence_of_2005.pdf||Published Version||425.32 kB||Adobe PDF|
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