Bondi–Metzner–Sachs symmetry

E788872

asymptotic symmetry group infinite-dimensional Lie group mathematical structure in general relativity

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.

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Observed surface forms (2)

Surface form	Occurrences
Bondi–Sachs formalism	1
Trautman–Bondi–Sachs formalism of gravitational radiation	1

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 ⓘ

Referenced by (3)

Full triples — surface form annotated when it differs from this entity's canonical label.

Ezra Newman → notableWork → Bondi–Metzner–Sachs symmetry ⓘ

Andrzej Trautman → knownFor → Bondi–Metzner–Sachs symmetry ⓘ

this entity surface form: Trautman–Bondi–Sachs formalism of gravitational radiation

Hermann Bondi → notableWork → Bondi–Metzner–Sachs symmetry ⓘ

this entity surface form: Bondi–Sachs formalism