The Initial Data Problem

  • Éric Gourgoulhon
Part of the Lecture Notes in Physics book series (LNP, volume 846)


The problem of solving the constraint equations to get valid initial data for the time evolution is discussed. We focus on two methods based on the conformal decomposition introduced in Chap. 7: the conformal transverse-traceless method and the conformal thin sandwich method. Both methods are illustrated by initial data in Schwarzschild spacetime. Finally, we give a survey of the construction of initial for binary compact objects, which are of major interest in numerical relativity.


Black Hole Initial Data Neutron Star Extrinsic Curvature Hamiltonian Constraint 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Éric Gourgoulhon
    • 1
  1. 1.Lab. Univers et Théories (LUTH) UMR 8102 du CNRS, Observatoire de ParisUniversité Paris DiderotMeudonFrance

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