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Part V ›
The Einstein Field Equations
The Einstein Field Equations
foundations results +15 more depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) definition 44.2: Einstein tensor 44.2 Einstein tensor postulate 44.3: Einstein field equations 44.3 Einstein field e… definition 44.6: Stress–energy tensor 44.6 Stress–energy te… definition 44.15: Dust 44.15 Dust definition 44.16: Perfect fluid 44.16 Perfect fluid definition 44.36: Energy conditions 44.36 Energy conditions proposition 44.4: Trace-reversed form 44.4 Trace-reversed f… lemma 44.7: Variation of inverse and determinant 44.7 Variation of inv… lemma 44.8: Palatini identity 44.8 Palatini identity theorem 44.9: Variation of the Einstein–Hilbert action 44.9 Variation of the… lemma 44.10: Divergence theorem on (M,g) 44.10 Divergence theor… proposition 44.11: The boundary term, and the
Gibbons–Hawking–York action 44.11 The boundary ter… proposition 44.13: First-order variation in vielbein-form variables 44.13 First-order vari… proposition 44.17: Stress–energy of the electromagnetic field 44.17 Stress–energy of… theorem 44.19: Covariant conservation of stress–energy 44.19 Covariant conser… proposition 44.20: Perfect-fluid equations of motion 44.20 Perfect-fluid eq… corollary 44.21: Dust flows on geodesics 44.21 Dust flows on ge… theorem 44.23: Contracted Bianchi identity 44.23 Contracted Bianc… corollary 44.24: Conservation is an integrability condition 44.24 Conservation is… The chain of The Einstein Field Equations: 19 of 34 objects, read left to right from what the chapter assumes to what tests it. Solid lines are declared logical edges, dashed ones were inferred from the structure of the source. Click any node to open its own chain.