By using the conformal method, solutions of the Einstein-scalar ficld gravitational constraint equations are obtained. Handling scalar fields is a bit more challenging than handling matter fields such as fluids, Maxwe...By using the conformal method, solutions of the Einstein-scalar ficld 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.展开更多
基金Project supported by NSF Grant PHY-0354659 at the University of Oregonby NSF Grant DMS-0305048 at the University of Washington.
文摘By using the conformal method, solutions of the Einstein-scalar ficld 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.
