remark 23.46 Carter's constant

open in the book · parts/03-classical-mechanics/06-hamilton-jacobi.tex:1519 · p. 841

Rests on

depends_on definition 23.16 Stäckel matrix; Stäckel system ¶
- depends_on equation 23.23 eq:hj-orthogonal-hamiltonian ¶
depends_on proposition 23.44 Relativistic Hamilton–Jacobi equation ¶
- depends_on definition 13.117 Metric tensor of signature $(p,q)$ ¶
  - depends_on definition 13.48 Differentiable manifold ¶
    - depends_on definition 13.47 Differentiable structure ¶
      - depends_on definition 13.44 Atlas ¶
  - depends_on definition 13.84 Tensor ¶
    - depends_on definition 13.83 Covector ¶
      - depends_on definition 13.81 Vector on a manifold ¶
    - depends_on definition 13.81 Vector on a manifold ¶ ↺
- depends_on equation 23.2 eq:hj-equation ¶
- depends_on equation 40.5 eq:rdyn-dispersion ¶
- proves proof ch:06-hamilton-jacobi@proof-13 ¶

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type	direction	node	provenance	where
`cites` (history)	→	Global Structure of the Kerr Family of Gravitational Fields	derived	parts/03-classical-mechanics/06-hamilton-jacobi.tex:1533
`depends_on`	→	Stäckel matrix; Stäckel system	declared	parts/03-classical-mechanics/06-hamilton-jacobi.tex:1548
`depends_on`	→	Relativistic Hamilton–Jacobi equation	declared	parts/03-classical-mechanics/06-hamilton-jacobi.tex:1548