definition 43.2 Einstein–Hilbert action

Rests on

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Supports

• depends_on definition 26.40 The $3+1$ decomposition ¶
  • depends_on lemma A.623 The adapted frame of the $3+1$ split ¶
    • depends_on lemma A.626 Decomposition of $\nabla n$, and the acceleration ¶
      • depends_on lemma A.630 Codazzi equation ¶
        • depends_on theorem 44.42 The constraint equations ¶
      • depends_on lemma A.631 The normal–normal Ricci contraction ¶
        • depends_on theorem A.632 The $3+1$ identity for the curvature scalar ¶
  • depends_on proposition 26.41 The ADM form of the Einstein–Hilbert Lagrangian ¶
    • depends_on theorem 26.42 The Hamiltonian structure of general relativity ¶
      • depends_on notation A.636 Densities and smearing ¶
        • depends_on lemma A.637 Closed form of $H_{\parallel}$, and what it generates ¶
      • depends_on proposition 26.43 The hypersurface-deformation algebra ¶
• depends_on theorem 43.3 Equivalence of the two variable sets ¶
  • depends_on proposition 44.13 First-order variation in vielbein-form variables ¶