equation 16.31 eq:calcvar-field-functional

open in the book · parts/02-mathematical-methods/14-calculus-of-variations.tex:1011

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depends_on definition 16.107 Field action ¶
depends_on theorem 16.36 Euler–Lagrange equations for several independent variables ¶
- depends_on definition 44.6 Stress–energy tensor ¶
  - depends_on definition 44.36 Energy conditions ¶
    - depends_on proposition 44.38 The electromagnetic field satisfies NEC, WEC, SEC and DEC ¶
    - depends_on proposition 44.37 Energy conditions for the perfect fluid ¶
    - depends_on proposition 44.39 SEC is the attraction condition ¶
  - depends_on proposition 44.17 Stress–energy of the electromagnetic field ¶
    - depends_on proposition 44.38 The electromagnetic field satisfies NEC, WEC, SEC and DEC ¶ ↺
  - depends_on theorem 44.19 Covariant conservation of stress–energy ¶
    - depends_on proposition 44.20 Perfect-fluid equations of motion ¶
      - depends_on corollary 44.21 Dust flows on geodesics ¶
  - depends_on theorem 44.9 Variation of the Einstein–Hilbert action ¶
    - depends_on proposition 44.11 The boundary term, and the Gibbons–Hawking–York action ¶
    - depends_on proposition 44.30 The cosmological term ¶
      - depends_on proposition 44.31 de Sitter geometry ¶
- depends_on proposition 28.42 The wave equation of a stretched string ¶

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type	direction	node	provenance	where
`depends_on`	←	Field action	declared	parts/02-mathematical-methods/14-calculus-of-variations.tex:3406
`depends_on`	←	Euler–Lagrange equations for several independent variables	declared	parts/02-mathematical-methods/14-calculus-of-variations.tex:1024