Bondi–Metzner–Sachs symmetry
E788872
Bondi–Metzner–Sachs symmetry is an infinite-dimensional group of asymptotic spacetime symmetries in general relativity that characterizes the gravitational field at null infinity, especially in the context of gravitational radiation.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Bondi–Metzner–Sachs symmetry canonical | 1 |
| Bondi–Sachs formalism | 1 |
| Trautman–Bondi–Sachs formalism of gravitational radiation | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T9277328 — 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: Bondi–Metzner–Sachs symmetry Context triple: [Ezra Newman, notableWork, Bondi–Metzner–Sachs symmetry]
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A.
Coleman–Mandula theorem
The Coleman–Mandula theorem is a foundational result in theoretical physics that severely restricts how spacetime and internal symmetries can be combined in a unified quantum field theory, showing that only a direct product of these symmetries is generally allowed.
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B.
Poincaré group
The Poincaré group is the fundamental symmetry group of special relativity, combining spacetime translations with Lorentz transformations in four-dimensional Minkowski space.
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C.
Aspects of Symmetry
Aspects of Symmetry is a highly influential collection of Sidney Coleman’s lectures that explores deep principles and applications of symmetry in quantum field theory and particle physics.
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D.
Einstein–Yang–Mills equations
The Einstein–Yang–Mills equations are the coupled field equations that describe how non-abelian gauge fields (such as those in Yang–Mills theory) interact with and curve spacetime within the framework of general relativity.
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E.
Kerr–Schild coordinates
Kerr–Schild coordinates are a coordinate system used to express the Kerr spacetime metric in a form that highlights its structure as a perturbation of flat Minkowski space along a principal null direction.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Bondi–Metzner–Sachs symmetry Target entity description: Bondi–Metzner–Sachs symmetry is an infinite-dimensional group of asymptotic spacetime symmetries in general relativity that characterizes the gravitational field at null infinity, especially in the context of gravitational radiation.
-
A.
Coleman–Mandula theorem
The Coleman–Mandula theorem is a foundational result in theoretical physics that severely restricts how spacetime and internal symmetries can be combined in a unified quantum field theory, showing that only a direct product of these symmetries is generally allowed.
-
B.
Poincaré group
The Poincaré group is the fundamental symmetry group of special relativity, combining spacetime translations with Lorentz transformations in four-dimensional Minkowski space.
-
C.
Aspects of Symmetry
Aspects of Symmetry is a highly influential collection of Sidney Coleman’s lectures that explores deep principles and applications of symmetry in quantum field theory and particle physics.
-
D.
Einstein–Yang–Mills equations
The Einstein–Yang–Mills equations are the coupled field equations that describe how non-abelian gauge fields (such as those in Yang–Mills theory) interact with and curve spacetime within the framework of general relativity.
-
E.
Kerr–Schild coordinates
Kerr–Schild coordinates are a coordinate system used to express the Kerr spacetime metric in a form that highlights its structure as a perturbation of flat Minkowski space along a principal null direction.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
asymptotic symmetry group
ⓘ
infinite-dimensional Lie group ⓘ mathematical structure in general relativity ⓘ |
| actsOn |
conformal boundary at null infinity
ⓘ
radiative phase space of gravity ⓘ |
| alsoKnownAs |
BMS group
NERFINISHED
ⓘ
BMS symmetry NERFINISHED ⓘ |
| appliesTo | asymptotically flat boundary conditions ⓘ |
| associatedWith |
Bondi–Sachs formalism
NERFINISHED
ⓘ
asymptotic flatness ⓘ null hypersurfaces ⓘ |
| characterizes | gravitational field at null infinity ⓘ |
| contains | Poincaré group as subgroup ⓘ |
| definedAt |
future null infinity
ⓘ
past null infinity ⓘ |
| describes | asymptotic spacetime symmetries at null infinity ⓘ |
| domain | null infinity ⓘ |
| extends | Poincaré symmetry NERFINISHED ⓘ |
| field | general relativity NERFINISHED ⓘ |
| formalizedUsing |
Bondi coordinates
NERFINISHED
ⓘ
Sachs coordinates NERFINISHED ⓘ |
| hasComponent |
Lorentz transformations
NERFINISHED
ⓘ
supertranslations ⓘ |
| hasGeneratorType |
angle-dependent translations
ⓘ
global Lorentz generators ⓘ |
| hasProperty |
infinite-dimensional
ⓘ
non-compact ⓘ |
| hasSubgroup |
Lorentz subgroup
NERFINISHED
ⓘ
supertranslation subgroup ⓘ |
| influenced |
asymptotic quantization of gravity
ⓘ
modern scattering amplitude research ⓘ |
| introducedIn | early 1960s ⓘ |
| introducedInContextOf | analysis of gravitational waves ⓘ |
| mathematicalNature | group of diffeomorphisms preserving asymptotic structure ⓘ |
| namedAfter |
A. W. K. Metzner
NERFINISHED
ⓘ
Hermann Bondi NERFINISHED ⓘ M. G. J. van der Burg NERFINISHED ⓘ Rainer K. Sachs NERFINISHED ⓘ |
| relatedConcept |
asymptotic charges
ⓘ
news tensor in general relativity ⓘ |
| relatedTo |
infrared structure of gravity
ⓘ
memory effect in gravity ⓘ soft graviton theorems ⓘ |
| relevantFor |
asymptotically flat spacetimes
ⓘ
gravitational radiation ⓘ |
| usedFor |
classification of gravitational radiation states
ⓘ
definition of conserved charges at null infinity ⓘ |
How these facts were elicited
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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.
Subject: Bondi–Metzner–Sachs symmetry Description of subject: Bondi–Metzner–Sachs symmetry is an infinite-dimensional group of asymptotic spacetime symmetries in general relativity that characterizes the gravitational field at null infinity, especially in the context of gravitational radiation.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.