proposition 44.4 Trace-reversed form

open in the book · parts/05-general-relativity-cosmology/03-einstein-field-equations.tex:170 · p. 1265

Rests on

depends_on postulate 44.3 Einstein field equations ¶
- depends_on definition 44.2 Einstein tensor ¶
  - depends_on definition 13.153 Contractions ¶
    - depends_on definition 13.117 Metric tensor of signature $(p,q)$ ¶
      - depends_on definition 13.48 Differentiable manifold ¶
      - depends_on definition 13.84 Tensor ¶
    - depends_on theorem 13.152 Riemann tensor; Ricci identity with torsion ¶
      - depends_on definition 13.145 Affine connection ¶
      - depends_on definition 13.147 Torsion ¶
      - depends_on proposition 7.105 Clairaut–Schwarz ¶
      - proves proof ch:11-manifolds-tensors-curvature@proof-42 ¶
proves proof ch:03-einstein-field-equations@proof-1 ¶

Supports

depends_on proposition 44.39 SEC is the attraction condition ¶
depends_on theorem 44.27 Newtonian correspondence of the field equations ¶
- depends_on corollary 44.35 The field equations are essentially unique ¶
- depends_on phenomenon 49.6 A maximum mass for a cold degenerate star ¶
- depends_on phenomenon 49.16 Pulsars: clocks at nuclear density ¶
- depends_on phenomenon 49.14 A neutron star is observed being born ¶
- depends_on proposition 44.29 Linearized field equations ¶

Neighborhood

Every logical edge within two steps of this node.

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partly declared
a check failed
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Edges

type	direction	node	provenance	where
`depends_on`	→	Einstein field equations	declared	parts/05-general-relativity-cosmology/03-einstein-field-equations.tex:179
`depends_on`	←	SEC is the attraction condition	declared	parts/05-general-relativity-cosmology/03-einstein-field-equations.tex:1620
`depends_on`	←	Newtonian correspondence of the field equations	declared	parts/05-general-relativity-cosmology/03-einstein-field-equations.tex:1153
`proves`	←	ch:03-einstein-field-equations@proof-1	declared	parts/05-general-relativity-cosmology/03-einstein-field-equations.tex:182