definition 44.16 Perfect fluid

open in the book · parts/05-general-relativity-cosmology/03-einstein-field-equations.tex:729 · p. 1270

ground object -- no derivation owed

Rests on

depends_on definition 44.15 Dust ¶
- depends_on definition 40.2 Four-velocity ¶
  - depends_on definition 38.12 Proper time ¶
    - depends_on definition 38.6 Minkowski metric and interval ¶
      - depends_on proposition 38.5 The invariant interval ¶
    - depends_on proposition 38.5 The invariant interval ¶ ↺
  - depends_on definition 40.1 Four-vector ¶
    - depends_on definition 38.6 Minkowski metric and interval ¶ ↺
    - depends_on equation 38.14 eq:lor-invariance-condition ¶
- depends_on phenomenon 40.6 Mass–energy equivalence ¶
  - depends_on equation 40.4 eq:rdyn-E-p ¶
  - proves proof ch:04-relativistic-dynamics@proof-3 ¶

Supports

depends_on proposition 44.37 Energy conditions for the perfect fluid ¶
depends_on proposition 44.20 Perfect-fluid equations of motion ¶
- depends_on corollary 44.21 Dust flows on geodesics ¶
depends_on theorem 49.9 Tolman–Oppenheimer–Volkoff equations ¶
- depends_on example 49.11 The uniform-density star ¶
  - depends_on proposition 49.12 Buchdahl bound ¶
    - depends_on phenomenon 49.19 Neutron stars reach two solar masses ¶
- depends_on phenomenon 49.19 Neutron stars reach two solar masses ¶ ↺

Neighborhood

Every logical edge within two steps of this node.

declared and complete
partly declared
a check failed
not graded
declared in the source
inferred from structure

Edges

type	direction	node	provenance	where
`depends_on`	→	Dust	declared	parts/05-general-relativity-cosmology/03-einstein-field-equations.tex:743
`depends_on`	←	Energy conditions for the perfect fluid	declared	parts/05-general-relativity-cosmology/03-einstein-field-equations.tex:1521
`depends_on`	←	Perfect-fluid equations of motion	declared	parts/05-general-relativity-cosmology/03-einstein-field-equations.tex:892
`depends_on`	←	Tolman–Oppenheimer–Volkoff equations	declared	parts/05-general-relativity-cosmology/08-compact-stars.tex:679