postulate 43.1 Geodesic motion
open in the book ·
parts/05-general-relativity-cosmology/02-geometric-formulation.tex:32
· p. 1259
- ground object -- no derivation owed
Rests on
No declared or derived dependency edges point away from this node yet.
Supports
- depends_on corollary 44.21 Dust flows on geodesics ¶
-
depends_on
phenomenon 53.2
Measured deflection of starlight at the solar limb
¶
-
tests
experiment
Dyson, Eddington and Davidson: the eclipse of
1919
¶
- cites (method) derived bib 571-581 A determination of the deflection of light by the sun's gravitational field, from observations made at the total eclipse of May 29, 1919 ¶
- cites (evidence) derived bib 571-581 A determination of the deflection of light by the sun's gravitational field, from observations made at the total eclipse of May 29, 1919 ¶ ↺
- cites (evidence) derived bib 571-581 A determination of the deflection of light by the sun's gravitational field, from observations made at the total eclipse of May 29, 1919 ¶ ↺
- cites (history) derived bib 10 Über den Einfluß der Schwerkraft auf die Ausbreitung des Lichtes ¶
- cites (history) derived bib Erklärung der Perihelbewegung des Merkur aus der allgemeinen Relativitätstheorie ¶
- cites (evidence) derived bib 2 PROGRESS IN MEASUREMENTS OF THE GRAVITATIONAL BENDING OF RADIO WAVES USING THE VLBA ¶
- cites (evidence) derived bib Gravitational deflection of light: a re-examination of the observations of the solar eclipse of 1919 ¶
- cites (evidence) derived bib 8 Measurement of the Solar Gravitational Deflection of Radio Waves Using Very-Long-Baseline Interferometry ¶
- cites (evidence) derived bib 0957 + 561 A, B: twin quasistellar objects or gravitational lens? ¶
- cites (context) derived bib 1 The Confrontation between General Relativity and Experiment ¶
- cites (context) derived bib 1 The Confrontation between General Relativity and Experiment ¶ ↺
-
tests
experiment
Dyson, Eddington and Davidson: the eclipse of
1919
¶
-
depends_on
phenomenon 53.6
Precession of a gyroscope in orbit
¶
-
tests
experiment
Lunar laser ranging and Gravity Probe B
¶
- cites (method) derived bib 22 Gravity Probe B: Final Results of a Space Experiment to Test General Relativity ¶
- cites (evidence) derived bib 22 Gravity Probe B: Final Results of a Space Experiment to Test General Relativity ¶ ↺
- cites (evidence) derived bib 22 Gravity Probe B: Final Results of a Space Experiment to Test General Relativity ¶ ↺
- cites (history) derived bib Über den Einfluß der Eigenrotation der Zentralkörper auf die Bewegung der Planeten und Monde nach der Einsteinschen Gravitationstheorie ¶
- cites (method) derived bib 18 APOLLO: millimeter lunar laser ranging ¶
- cites (history) derived bib 5 Equivalence Principle for Massive Bodies. II. Theory ¶
- cites (history) derived bib 5 Equivalence Principle for Massive Bodies. II. Theory ¶ ↺
- cites (history) derived bib Über die Wirkung rotierender ferner Massen in der Einsteinschen Gravitationstheorie ¶
- cites (method) derived bib 26 Progress in Lunar Laser Ranging Tests of Relativistic Gravity ¶
- cites (evidence) derived bib 26 Progress in Lunar Laser Ranging Tests of Relativistic Gravity ¶ ↺
- cites (evidence) derived bib 26 Progress in Lunar Laser Ranging Tests of Relativistic Gravity ¶ ↺
-
tests
experiment
Lunar laser ranging and Gravity Probe B
¶
-
depends_on
phenomenon 53.1
Measured anomalous advance of Mercury's perihelion
¶
-
tests
experiment
Le Verrier and the perihelion of Mercury
¶
- cites (evidence) derived bib Detection of the Schwarzschild precession in the orbit of the star S2 near the Galactic centre massive black hole ¶
- cites (evidence) derived bib Detection of the Schwarzschild precession in the orbit of the star S2 near the Galactic centre massive black hole ¶ ↺
- cites (history) derived bib Erklärung der Perihelbewegung des Merkur aus der allgemeinen Relativitätstheorie ¶ ↺
- cites (history) derived bib Erklärung der Perihelbewegung des Merkur aus der allgemeinen Relativitätstheorie ¶ ↺
- cites (data) derived bib Lettre de M. Le Verrier à M. Faye sur la théorie de Mercure et sur le mouvement du périhélie de cette planète ¶
- cites (evidence) derived bib Lettre de M. Le Verrier à M. Faye sur la théorie de Mercure et sur le mouvement du périhélie de cette planète ¶ ↺
- cites (evidence) derived bib The Elements of the Four Inner Planets and the Fundamental Constants of Astronomy ¶
- cites (data) derived bib 1 The Confrontation between General Relativity and Experiment ¶ ↺
-
tests
experiment
Le Verrier and the perihelion of Mercury
¶
-
depends_on
phenomenon 53.4
Excess delay of a radar echo passing the Sun
¶
-
tests
experiment
Shapiro: the radar time delay
¶
- cites (method) derived bib 6956 A test of general relativity using radio links with the Cassini spacecraft ¶
- cites (evidence) derived bib 6956 A test of general relativity using radio links with the Cassini spacecraft ¶ ↺
- cites (evidence) derived bib 6956 A test of general relativity using radio links with the Cassini spacecraft ¶ ↺
- cites (evidence) derived bib 7319 A two-solar-mass neutron star measured using Shapiro delay ¶
- cites (method) derived bib Viking relativity experiment - Verification of signal retardation by solar gravity ¶
- cites (evidence) derived bib Viking relativity experiment - Verification of signal retardation by solar gravity ¶ ↺
- cites (history) derived bib 26 Fourth Test of General Relativity ¶
- cites (history) derived bib 26 Fourth Test of General Relativity ¶ ↺
- cites (method) derived bib 22 Fourth Test of General Relativity: Preliminary Results ¶
- cites (evidence) derived bib 22 Fourth Test of General Relativity: Preliminary Results ¶ ↺
-
tests
experiment
Shapiro: the radar time delay
¶
- depends_on phenomenon 42.7 Deflection of light by the Sun ¶
-
depends_on
phenomenon 42.6
Anomalous perihelion advance of Mercury
¶
- depends_on phenomenon 50.3 Relativistic redshift and precession of a stellar orbit ¶
- depends_on phenomenon 42.8 Shapiro time delay ¶
-
depends_on
proposition 44.26
Newtonian limit of geodesic motion
¶
-
depends_on
theorem 44.27
Newtonian correspondence of the field equations
¶
- depends_on corollary 44.35 The field equations are essentially unique ¶
- depends_on phenomenon 49.6 A maximum mass for a cold degenerate star ¶
- depends_on phenomenon 49.16 Pulsars: clocks at nuclear density ¶
- depends_on phenomenon 49.14 A neutron star is observed being born ¶
- depends_on proposition 44.29 Linearized field equations ¶
-
depends_on
theorem 44.27
Newtonian correspondence of the field equations
¶
-
depends_on
theorem 45.1
Schwarzschild solution
¶
- depends_on phenomenon 50.4 A ring of light at event-horizon scale ¶
- depends_on phenomenon 50.5 Black-hole masses from gravitational waves ¶
-
depends_on
phenomenon 45.52
The shadow
¶
- depends_on phenomenon 50.4 A ring of light at event-horizon scale ¶ ↺
-
depends_on
proposition 45.14
Isotropic coordinates
¶
- depends_on phenomenon 53.4 Excess delay of a radar echo passing the Sun ¶ ↺
- depends_on phenomenon 42.8 Shapiro time delay ¶ ↺
-
depends_on
proposition 45.43
Static acceleration and surface gravity
¶
-
depends_on
proposition 45.46
The first law
¶
-
depends_on
theorem 45.49
Hawking temperature; imported
¶
- depends_on proposition 45.51 Evaporation: scale and timescale ¶
-
depends_on
theorem 45.49
Hawking temperature; imported
¶
- depends_on theorem 45.49 Hawking temperature; imported ¶ ↺
-
depends_on
proposition 45.46
The first law
¶
- depends_on proposition 45.16 Curvature at the horizon and at the centre ¶
- depends_on proposition 45.19 Kruskal–Szekeres coordinates ¶
-
depends_on
proposition 45.18
The one-way membrane
¶
- depends_on phenomenon 50.6 No material surface ¶
- depends_on theorem 45.47 Area theorem; imported ¶
-
depends_on
proposition 45.6
Radial equation and effective potential
¶
-
depends_on
proposition 45.10
Circular orbits and their energy
¶
- depends_on phenomenon 45.12 Efficiency of accretion onto compact objects ¶
-
depends_on
proposition 45.8
Orbit equation
¶
- depends_on phenomenon 53.2 Measured deflection of starlight at the solar limb ¶ ↺
- depends_on phenomenon 53.1 Measured anomalous advance of Mercury's perihelion ¶ ↺
- depends_on phenomenon 45.9 Relativistic advance of the periastron ¶
-
depends_on
proposition 45.21
Radial plunge: the cycloid
¶
-
depends_on
proposition 45.22
The view from outside: exponential freezing
¶
- depends_on phenomenon 45.24 Compact objects exist above every cold-support limit ¶
-
depends_on
theorem 45.23
Oppenheimer–Snyder collapse
¶
- depends_on phenomenon 45.24 Compact objects exist above every cold-support limit ¶ ↺
-
depends_on
proposition 45.22
The view from outside: exponential freezing
¶
-
depends_on
proposition 45.10
Circular orbits and their energy
¶
-
depends_on
proposition 45.37
Reissner–Nordström solution
¶
-
depends_on
theorem 45.39
Israel; imported
¶
- depends_on phenomenon 45.42 Stationary black holes are two-parameter objects ¶
-
depends_on
theorem 45.39
Israel; imported
¶
-
depends_on
theorem 45.4
Jebsen–Birkhoff
¶
- depends_on corollary 45.5 No monopole gravitational radiation ¶
- depends_on theorem 45.23 Oppenheimer–Snyder collapse ¶ ↺
- depends_on theorem 45.39 Israel; imported ¶ ↺
- … 1 more
Neighborhood
Every logical edge within two steps of this node.
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
← | Dust flows on geodesics | declared | parts/05-general-relativity-cosmology/03-einstein-field-equations.tex:936 |
depends_on |
← | Measured deflection of starlight at the solar limb | declared | parts/05-general-relativity-cosmology/12-exp-classical-tests.tex:342 |
depends_on |
← | Precession of a gyroscope in orbit | declared | parts/05-general-relativity-cosmology/12-exp-classical-tests.tex:1075 |
depends_on |
← | Measured anomalous advance of Mercury's perihelion | declared | parts/05-general-relativity-cosmology/12-exp-classical-tests.tex:134 |
depends_on |
← | Excess delay of a radar echo passing the Sun | declared | parts/05-general-relativity-cosmology/12-exp-classical-tests.tex:664 |
depends_on |
← | Deflection of light by the Sun | declared | parts/05-general-relativity-cosmology/01-equivalence-classical-tests.tex:759 |
depends_on |
← | Anomalous perihelion advance of Mercury | declared | parts/05-general-relativity-cosmology/01-equivalence-classical-tests.tex:617 |
depends_on |
← | Shapiro time delay | declared | parts/05-general-relativity-cosmology/01-equivalence-classical-tests.tex:872 |
depends_on |
← | Newtonian limit of geodesic motion | declared | parts/05-general-relativity-cosmology/03-einstein-field-equations.tex:1104 |
depends_on |
← | Schwarzschild solution | declared | parts/05-general-relativity-cosmology/04-schwarzschild-black-holes.tex:108 |