equation 16.32 eq:calcvar-euler-lagrange-field
open in the book ·
parts/02-mathematical-methods/14-calculus-of-variations.tex:1018
- part of a statement or proof
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Supports
- depends_on corollary 16.91 The canonical energy–momentum tensor ¶
-
depends_on
definition 16.67
The Dirichlet principle
¶
- depends_on theorem A.491 Dirichlet problem for the disc; quoted ¶
- depends_on example 16.37 The Dirichlet integral gives Laplace's equation ¶
- depends_on example 16.109 The Einstein–Hilbert action ¶
- depends_on example 16.108 The electromagnetic action ¶
-
depends_on
proposition 16.8
The minimal-surface equation
¶
- depends_on proposition A.493 A harmonic conformal map is a minimal surface ¶
-
depends_on
theorem 16.90
Noether's first theorem, several independent variables
¶
-
depends_on
theorem 16.93
Noether's second theorem
¶
- depends_on example 16.109 The Einstein–Hilbert action ¶ ↺
-
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
proposition 44.20
Perfect-fluid equations of motion
¶
-
depends_on
theorem 16.93
Noether's second theorem
¶
- depends_on theorem 16.93 Noether's second theorem ¶ ↺
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
← | The canonical energy–momentum tensor | declared | parts/02-mathematical-methods/14-calculus-of-variations.tex:2923 |
depends_on |
← | The Dirichlet principle | declared | parts/02-mathematical-methods/14-calculus-of-variations.tex:2080 |
depends_on |
← | The Dirichlet integral gives Laplace's equation | declared | parts/02-mathematical-methods/14-calculus-of-variations.tex:1082 |
depends_on |
← | The Einstein–Hilbert action | declared | parts/02-mathematical-methods/14-calculus-of-variations.tex:3478 |
depends_on |
← | The electromagnetic action | declared | parts/02-mathematical-methods/14-calculus-of-variations.tex:3450 |
depends_on |
← | The minimal-surface equation | declared | parts/02-mathematical-methods/14-calculus-of-variations.tex:303 |
depends_on |
← | Noether's first theorem, several independent variables | declared | parts/02-mathematical-methods/14-calculus-of-variations.tex:2869 |
depends_on |
← | Noether's second theorem | declared | parts/02-mathematical-methods/14-calculus-of-variations.tex:2979 |