Lemaître–Tolman metric
E102548
Lemaître–Tolman–Bondi model
cosmological model
dust solution
exact solution of Einstein field equations
inhomogeneous cosmological solution
spherically symmetric spacetime metric
The Lemaître–Tolman metric is an exact spherically symmetric, inhomogeneous solution of Einstein’s field equations used in cosmology to model non-uniform distributions of matter without assuming spatial homogeneity.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Lemaître–Tolman dust solution | 1 |
| Lemaître–Tolman metric canonical | 1 |
| Lemaître–Tolman–Bondi metric | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T854132 — 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.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Lemaître–Tolman metric Context triple: [Georges Lemaître, knownFor, Lemaître–Tolman metric]
-
A.
Gödel metric
The Gödel metric is a solution to Einstein's field equations that describes a rotating universe allowing for closed timelike curves and thus the theoretical possibility of time travel.
-
B.
Reissner–Nordström metric
The Reissner–Nordström metric is an exact solution in general relativity describing the spacetime geometry outside a static, spherically symmetric, electrically charged black hole.
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C.
FLRW cosmological models
FLRW cosmological models are a family of solutions to Einstein’s field equations that describe a homogeneous and isotropic expanding or contracting universe, forming the standard framework for modern cosmology.
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D.
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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E.
Kerr metric
The Kerr metric is the exact general relativity solution describing the spacetime geometry around a rotating, uncharged black hole.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Lemaître–Tolman metric Target entity description: The Lemaître–Tolman metric is an exact spherically symmetric, inhomogeneous solution of Einstein’s field equations used in cosmology to model non-uniform distributions of matter without assuming spatial homogeneity.
-
A.
Gödel metric
The Gödel metric is a solution to Einstein's field equations that describes a rotating universe allowing for closed timelike curves and thus the theoretical possibility of time travel.
-
B.
Reissner–Nordström metric
The Reissner–Nordström metric is an exact solution in general relativity describing the spacetime geometry outside a static, spherically symmetric, electrically charged black hole.
-
C.
FLRW cosmological models
FLRW cosmological models are a family of solutions to Einstein’s field equations that describe a homogeneous and isotropic expanding or contracting universe, forming the standard framework for modern cosmology.
-
D.
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.
-
E.
Kerr metric
The Kerr metric is the exact general relativity solution describing the spacetime geometry around a rotating, uncharged black hole.
- F. None of above. chosen
Statements (51)
| Predicate | Object |
|---|---|
| instanceOf |
Lemaître–Tolman–Bondi model
ⓘ
cosmological model ⓘ dust solution ⓘ exact solution of Einstein field equations ⓘ inhomogeneous cosmological solution ⓘ spherically symmetric spacetime metric ⓘ |
| allows |
radial inhomogeneity
ⓘ
radially varying density ⓘ radially varying expansion rate ⓘ |
| assumes |
comoving coordinates
ⓘ
pressureless matter ⓘ spherical symmetry ⓘ |
| basedOnTheory | general relativity ⓘ |
| canInclude | cosmological constant ⓘ |
| describes |
inhomogeneous matter distribution
ⓘ
spherically symmetric dust-filled universe ⓘ |
| doesNotAssume | spatial homogeneity ⓘ |
| field |
cosmology
ⓘ
theoretical physics ⓘ |
| generalizes |
FLRW cosmological models
ⓘ
surface form:
Friedmann–Lemaître–Robertson–Walker metric
|
| hasAlternativeName |
LTB metric
ⓘ
Lemaître–Tolman metric ⓘ
surface form:
Lemaître–Tolman dust solution
Lemaître–Tolman metric ⓘ
surface form:
Lemaître–Tolman–Bondi metric
|
| hasCoordinateSystem |
comoving radial coordinate
ⓘ
synchronous time coordinate ⓘ |
| hasEnergyMomentumContent | dust ⓘ |
| hasFreeFunction |
bang time function
ⓘ
energy function of radius ⓘ mass function of radius ⓘ |
| hasMatterContent | irrotational dust ⓘ |
| hasProperty |
geodesic flow of matter
ⓘ
radially inhomogeneous expansion ⓘ zero pressure ⓘ |
| hasSymmetry | spherical symmetry ⓘ |
| namedAfter |
Georges Lemaître
ⓘ
Richard C. Tolman ⓘ |
| reducesTo | FLRW metric under spatial homogeneity ⓘ |
| satisfies | Einstein field equations ⓘ |
| usedIn |
gravitational collapse models
ⓘ
inhomogeneous cosmological models ⓘ modeling non-uniform matter distributions ⓘ relativistic cosmology ⓘ spherically symmetric inhomogeneous universes ⓘ studies of cosmic structure formation ⓘ studies of luminosity distance–redshift relations ⓘ tests of the Copernican principle ⓘ void models of the universe ⓘ |
| usedToModel |
Swiss-cheese cosmological models
ⓘ
cosmic voids ⓘ overdense regions ⓘ spherically symmetric inhomogeneous dark energy alternatives ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Lemaître–Tolman metric Description of subject: The Lemaître–Tolman metric is an exact spherically symmetric, inhomogeneous solution of Einstein’s field equations used in cosmology to model non-uniform distributions of matter without assuming spatial homogeneity.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Lemaître–Tolman–Bondi metric
this entity surface form:
Lemaître–Tolman dust solution