The Einstein – scalar field constraints on asymptotically Euclidean manifolds

  title={The Einstein – scalar field constraints on asymptotically Euclidean manifolds},
  author={Yvonne Choquet-Bruhat and James Isenberg and Daniel Pollack},
We use the conformal method to obtain solutions of the Einstein– scalar field gravitational constraint equations. 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. Our proofs are constructive and allow for arbitrary dimension (> 2) as well as low regularity initial data. Dedicated to the memory of S. S. Chern… CONTINUE READING

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