Constraints as evolutionary systems

Research output: Contribution to journalArticle

10 Citations (Scopus)


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
Issue number1
Publication statusPublished - Dec 14 2015

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Fingerprint Dive into the research topics of 'Constraints as evolutionary systems'. Together they form a unique fingerprint.

  • Cite this