Boyer–Lindquist coordinates
E77120
Boyer–Lindquist coordinates are a spheroidal coordinate system commonly used in general relativity to express the Kerr solution describing the spacetime around a rotating black hole.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Boyer–Lindquist coordinates canonical | 5 |
| Boyer–Lindquist r coordinate | 1 |
| Boyer–Lindquist time coordinate | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T616520 — 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: Boyer–Lindquist coordinates Context triple: [Kerr metric, hasCoordinateSystem, Boyer–Lindquist coordinates]
-
A.
Schwarzschild coordinates
Schwarzschild coordinates are a spherical coordinate system used in general relativity to describe the spacetime geometry outside a spherically symmetric, non-rotating mass, such as a static black hole.
-
B.
Eddington–Finkelstein coordinates
Eddington–Finkelstein coordinates are a coordinate system in general relativity that smoothly covers a black hole’s event horizon, avoiding the coordinate singularity present in standard Schwarzschild coordinates.
-
C.
Kruskal–Szekeres coordinates
Kruskal–Szekeres coordinates are a maximal extension coordinate system used in general relativity to smoothly describe the entire spacetime of a Schwarzschild black hole, including regions across the event horizon.
-
D.
Painlevé–Gullstrand coordinates
Painlevé–Gullstrand coordinates are a coordinate system for the Schwarzschild black hole that is regular at the event horizon and represents spacetime as seen by freely falling observers.
-
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: Boyer–Lindquist coordinates Target entity description: Boyer–Lindquist coordinates are a spheroidal coordinate system commonly used in general relativity to express the Kerr solution describing the spacetime around a rotating black hole.
-
A.
Schwarzschild coordinates
Schwarzschild coordinates are a spherical coordinate system used in general relativity to describe the spacetime geometry outside a spherically symmetric, non-rotating mass, such as a static black hole.
-
B.
Eddington–Finkelstein coordinates
Eddington–Finkelstein coordinates are a coordinate system in general relativity that smoothly covers a black hole’s event horizon, avoiding the coordinate singularity present in standard Schwarzschild coordinates.
-
C.
Kruskal–Szekeres coordinates
Kruskal–Szekeres coordinates are a maximal extension coordinate system used in general relativity to smoothly describe the entire spacetime of a Schwarzschild black hole, including regions across the event horizon.
-
D.
Painlevé–Gullstrand coordinates
Painlevé–Gullstrand coordinates are a coordinate system for the Schwarzschild black hole that is regular at the event horizon and represents spacetime as seen by freely falling observers.
-
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 (50)
| Predicate | Object |
|---|---|
| instanceOf |
coordinate system
ⓘ
curvilinear coordinate system ⓘ spheroidal coordinate system ⓘ |
| coordinateSingularityAt |
event horizon of Kerr black hole
ⓘ
Δ = 0 ⓘ |
| definesFunction |
Δ = r^2 - 2Mr + a^2 + Q^2
ⓘ
Σ = r^2 + a^2 cos^2θ ⓘ |
| domainOfDefinition |
0 ≤ θ ≤ π
ⓘ
0 ≤ φ < 2π ⓘ r > 0 ⓘ |
| generalizes | Schwarzschild coordinates ⓘ |
| hasCoordinate |
r
ⓘ
t ⓘ θ ⓘ φ ⓘ |
| hasParameter |
charge Q
ⓘ
mass M ⓘ spin parameter a ⓘ |
| hasProperty |
adapted to axial symmetry
ⓘ
asymptotically spherical at large r ⓘ reduce to Schwarzschild coordinates when a=0 ⓘ time coordinate t is asymptotically Minkowskian ⓘ θ is polar angle from rotation axis ⓘ φ is azimuthal angle around rotation axis ⓘ |
| hasSignature | (-,+,+,+) ⓘ |
| hasSymmetry |
axisymmetry
ⓘ
stationarity ⓘ |
| introducedBy |
Richard W. Lindquist
ⓘ
Robert H. Boyer ⓘ |
| introducedInContext |
Kerr metric
ⓘ
surface form:
Kerr solution
|
| metricComponent |
g_rr = Σ/Δ
ⓘ
g_tt = -(1 - 2Mr/Σ) ⓘ g_tφ = -2Mar sin^2θ / Σ ⓘ g_θθ = Σ ⓘ g_φφ = (r^2 + a^2 + 2Ma^2 r sin^2θ / Σ) sin^2θ ⓘ |
| relatedTo |
Boyer–Lindquist coordinates
self-linksurface differs
ⓘ
surface form:
Boyer–Lindquist r coordinate
Boyer–Lindquist coordinates self-linksurface differs ⓘ
surface form:
Boyer–Lindquist time coordinate
Eddington–Finkelstein coordinates ⓘ Kerr–Schild coordinates ⓘ |
| usedFor |
Kerr metric
ⓘ
Kerr–Newman black hole ⓘ
surface form:
Kerr–Newman metric
accretion disk modeling around rotating black holes ⓘ frame dragging analysis ⓘ geodesic calculations in Kerr spacetime ⓘ gravitational lensing in Kerr spacetime ⓘ quasinormal mode calculations of rotating black holes ⓘ rotating black hole spacetime ⓘ stationary axisymmetric spacetimes ⓘ |
| usedIn | general relativity ⓘ |
| yearIntroduced | 1967 ⓘ |
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: Boyer–Lindquist coordinates Description of subject: Boyer–Lindquist coordinates are a spheroidal coordinate system commonly used in general relativity to express the Kerr solution describing the spacetime around a rotating black hole.
Referenced by (7)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Boyer–Lindquist r coordinate
this entity surface form:
Boyer–Lindquist time coordinate