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| The Einstein-Scalar Field Constraints on Asymptotically Euclidean Manifolds |
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Citation： |
Yvonne CHOQUET-BRUHAT,James ISENBERG,Daniel POLLACK.The Einstein-Scalar Field Constraints on Asymptotically Euclidean Manifolds[J].Chinese Annals of Mathematics B,2006,27(1):31~52 |
| Page view： 1386
Net amount： 792 |
Authors： |
Yvonne CHOQUET-BRUHAT; James ISENBERG;Daniel POLLACK |
Foundation： |
Project supported by NSF Grant PHY-0354659 at the University of Oregon, and by NSF Grant DMS-0305048 at the University of Washington. |
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| Abstract： |
By using the conformal method, solutions of the Einstein-scalar
field gravitational constraint equations are obtained. Handling
scalar fields is a bit more challenging than handling matter
fields such as fluids, Maxwell fields or Yang-Mills fields,
because the scalar field introduces three extra terms into the
Lichnerowicz equation, rather than just one. The proofs are
constructive and allow for arbitrary dimension ($>2)$ as well as
low regularity initial data. |
Keywords： |
Einstein-scalar field, Constraints, Asymptotically Euclidian |
Classification： |
83C05 |
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