Einstein–Infeld–Hoffmann equations
E811620
The Einstein–Infeld–Hoffmann equations are post-Newtonian equations of motion in general relativity that describe the dynamics of gravitating bodies with relativistic corrections beyond Newtonian gravity.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Einstein–Infeld–Hoffmann equations canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T9637210 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
Target entity: Einstein–Infeld–Hoffmann equations Context triple: [Leopold Infeld, notableWork, Einstein–Infeld–Hoffmann equations]
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A.
Schwarzschild–Milne equations
The Schwarzschild–Milne equations are fundamental integro-differential equations in radiative transfer theory that describe the propagation and scattering of radiation through a plane-parallel, absorbing and emitting medium.
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B.
Einstein–Maxwell equations
The Einstein–Maxwell equations are the coupled set of field equations in general relativity that describe how spacetime curvature and electromagnetic fields interact and influence each other.
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C.
Landau–Lifshitz equations
The Landau–Lifshitz equations are fundamental differential equations in theoretical physics that describe the dynamics of magnetization in ferromagnets and, more broadly, the behavior of fields in relativistic and nonrelativistic continuum theories.
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D.
Newman–Penrose formalism
The Newman–Penrose formalism is a mathematical framework in general relativity that uses null tetrads and spin coefficients to simplify the analysis of spacetime geometry and gravitational radiation.
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E.
Nordström's scalar theory of gravitation
Nordström's scalar theory of gravitation is an early 20th-century relativistic theory of gravity that models gravitational interaction using a scalar field, serving as a precursor and alternative to Einstein’s general relativity.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Einstein–Infeld–Hoffmann equations Target entity description: The Einstein–Infeld–Hoffmann equations are post-Newtonian equations of motion in general relativity that describe the dynamics of gravitating bodies with relativistic corrections beyond Newtonian gravity.
-
A.
Schwarzschild–Milne equations
The Schwarzschild–Milne equations are fundamental integro-differential equations in radiative transfer theory that describe the propagation and scattering of radiation through a plane-parallel, absorbing and emitting medium.
-
B.
Einstein–Maxwell equations
The Einstein–Maxwell equations are the coupled set of field equations in general relativity that describe how spacetime curvature and electromagnetic fields interact and influence each other.
-
C.
Landau–Lifshitz equations
The Landau–Lifshitz equations are fundamental differential equations in theoretical physics that describe the dynamics of magnetization in ferromagnets and, more broadly, the behavior of fields in relativistic and nonrelativistic continuum theories.
-
D.
Newman–Penrose formalism
The Newman–Penrose formalism is a mathematical framework in general relativity that uses null tetrads and spin coefficients to simplify the analysis of spacetime geometry and gravitational radiation.
-
E.
Nordström's scalar theory of gravitation
Nordström's scalar theory of gravitation is an early 20th-century relativistic theory of gravity that models gravitational interaction using a scalar field, serving as a precursor and alternative to Einstein’s general relativity.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
approximation scheme in gravitational theory
ⓘ
equations of motion in general relativity ⓘ post-Newtonian equations of motion ⓘ |
| appliesTo |
slowly moving bodies compared to speed of light
ⓘ
weak gravitational fields ⓘ |
| approximates | geodesic motion in curved spacetime ⓘ |
| assumes |
point-mass approximation for bodies
ⓘ
slow-motion approximation v much less than c ⓘ |
| basedOn | Einstein field equations NERFINISHED ⓘ |
| describes |
dynamics of gravitating bodies with relativistic corrections
ⓘ
motion of point-like masses in general relativity ⓘ post-Newtonian corrections to Newtonian gravity ⓘ |
| developedBy |
Albert Einstein
NERFINISHED
ⓘ
Banesh Hoffmann NERFINISHED ⓘ Leopold Infeld NERFINISHED ⓘ |
| excludesEffect | gravitational radiation reaction at leading order ⓘ |
| field |
celestial mechanics
ⓘ
general relativity ⓘ gravitational physics ⓘ |
| generalizationOf | Newtonian N-body equations of motion ⓘ |
| improvesUpon | Newtonian equations of motion ⓘ |
| includesEffect |
finite propagation speed of gravity
ⓘ
gravitational time dilation effects in motion ⓘ periastron precession ⓘ relativistic corrections to orbital motion ⓘ velocity-dependent gravitational interactions ⓘ |
| involves |
expansion in powers of v over c
ⓘ
mass monopole contributions of bodies ⓘ |
| mathematicalForm | coupled ordinary differential equations for particle trajectories ⓘ |
| namedAfter |
Albert Einstein
NERFINISHED
ⓘ
Banesh Hoffmann NERFINISHED ⓘ Leopold Infeld NERFINISHED ⓘ |
| order | first post-Newtonian order ⓘ |
| publicationYear | 1938 ⓘ |
| publishedIn | Annals of Mathematics NERFINISHED ⓘ |
| relatedConcept |
Einstein field equations in weak-field limit
NERFINISHED
ⓘ
parameterized post-Newtonian formalism ⓘ post-Newtonian formalism ⓘ two-body problem in general relativity ⓘ |
| usedFor |
high-precision ephemerides of planets
ⓘ
spacecraft navigation in relativistic models ⓘ |
| usedIn |
binary star orbital calculations
ⓘ
solar system dynamics modeling ⓘ tests of general relativity in weak-field regime ⓘ |
| usesApproximation | post-Newtonian expansion ⓘ |
| validWhen |
gravitational potentials are small compared to c squared
ⓘ
orbital velocities are small compared to speed of light ⓘ |
How these facts were elicited
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Subject: Einstein–Infeld–Hoffmann equations Description of subject: The Einstein–Infeld–Hoffmann equations are post-Newtonian equations of motion in general relativity that describe the dynamics of gravitating bodies with relativistic corrections beyond Newtonian gravity.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.