example 49.11 The uniform-density star

open in the book · parts/05-general-relativity-cosmology/08-compact-stars.tex:780 · p. 1349

example -- no derivation owed by its kind

Rests on

depends_on equation 49.18 eq:compact-tov ¶
depends_on theorem 49.9 Tolman–Oppenheimer–Volkoff equations ¶
- depends_on definition 44.16 Perfect fluid ¶
  - depends_on definition 44.15 Dust ¶
    - depends_on definition 40.2 Four-velocity ¶
      - depends_on definition 38.12 Proper time ¶
      - depends_on definition 40.1 Four-vector ¶
    - 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 ¶
- depends_on equation 49.14 eq:compact-efe ¶
- depends_on equation 49.16 eq:compact-perfect-fluid ¶
- depends_on postulate 44.3 Einstein field equations ¶
  - depends_on definition 44.2 Einstein tensor ¶
    - depends_on definition 13.153 Contractions ¶
      - depends_on definition 13.117 Metric tensor of signature $(p,q)$ ¶
      - depends_on theorem 13.152 Riemann tensor; Ricci identity with torsion ¶
- proves proof ch:08-compact-stars@proof-8 ¶

Supports

depends_on proposition 49.12 Buchdahl bound ¶
- 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`	→	eq:compact-tov	declared	parts/05-general-relativity-cosmology/08-compact-stars.tex:804
`depends_on`	→	Tolman–Oppenheimer–Volkoff equations	declared	parts/05-general-relativity-cosmology/08-compact-stars.tex:804
`depends_on`	←	Buchdahl bound	declared	parts/05-general-relativity-cosmology/08-compact-stars.tex:814