Constraints as evolutionary systems

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10 Citations (Scopus)

Abstract

The constraint equations for smooth (n + 1)-dimensional (with ) Riemannian or Lorentzian spaces satisfying the Einstein field equations are considered. It is shown, regardless of the signature of the primary space, that the constraints can be put into the form of an evolutionary system comprising either a first order symmetric hyperbolic system and a parabolic equation or, alternatively, a symmetrizable hyperbolic system and a subsidiary algebraic relation. In both cases the (local) existence and uniqueness of solutions are also discussed.

Original languageEnglish
Article number015014
JournalClassical and Quantum Gravity
Volume33
Issue number1
DOIs
Publication statusPublished - Dec 14 2015

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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