proposition 49.12 Buchdahl bound

open in the book · parts/05-general-relativity-cosmology/08-compact-stars.tex:807 · p. 1350

Rests on

depends_on equation 49.21 eq:compact-uniform-pc ¶
depends_on example 49.11 The uniform-density star ¶
- 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 phenomenon 40.6 Mass–energy equivalence ¶
  - 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 ¶
  - proves proof ch:08-compact-stars@proof-8 ¶
proves proof ch:08-compact-stars@proof-9 ¶

Supports

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-uniform-pc	declared	parts/05-general-relativity-cosmology/08-compact-stars.tex:814
`depends_on`	→	The uniform-density star	declared	parts/05-general-relativity-cosmology/08-compact-stars.tex:814
`depends_on`	←	Neutron stars reach two solar masses	declared	parts/05-general-relativity-cosmology/08-compact-stars.tex:1310
`proves`	←	ch:08-compact-stars@proof-9	declared	parts/05-general-relativity-cosmology/08-compact-stars.tex:817