Newman–Penrose formalism

E788871

framework in general relativity mathematical 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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All labels observed (3)

Label	Occurrences
Newman–Penrose formalism canonical	2
Newman–Penrose Weyl scalars	1
Newman–Penrose spin coefficients	1

Statements (47)

Predicate	Object
instanceOf	framework in general relativity ⓘ mathematical formalism ⓘ
aimsTo	simplify analysis of gravitational radiation ⓘ simplify analysis of spacetime geometry ⓘ
alsoKnownAs	NP formalism NERFINISHED ⓘ
appliedTo	asymptotically flat spacetimes ⓘ black hole spacetimes ⓘ exact solutions of Einstein equations ⓘ study of gravitational waves ⓘ
assumes	Lorentzian spacetime metric ⓘ
basedOn	null vector fields ⓘ
characterizes	Ricci tensor via complex Ricci scalars ⓘ Weyl tensor via five complex Weyl scalars ⓘ
context	classical field theory ⓘ
defines	null tetrad of four linearly independent null vectors ⓘ
describes	curvature via complex scalar quantities ⓘ
encodes	Bianchi identities in tetrad form ⓘ Einstein field equations in tetrad form ⓘ
field	general relativity ⓘ
frameworkType	null tetrad formalism NERFINISHED ⓘ
influenced	development of twistor theory ⓘ
introducedBy	Ezra T. Newman NERFINISHED ⓘ Roger Penrose NERFINISHED ⓘ
involves	Newman–Penrose equations NERFINISHED ⓘ commutation relations for directional derivatives ⓘ
language	complex scalars instead of tensor components ⓘ
provides	set of 12 complex spin coefficients ⓘ
publicationYear	1962 ⓘ
relatedTo	Bondi–Sachs formalism NERFINISHED ⓘ spinor formalism in general relativity ⓘ tetrad formalism NERFINISHED ⓘ
represents	spacetime geometry in terms of null tetrads ⓘ
usedIn	mathematical relativity ⓘ study of asymptotic symmetries of spacetime ⓘ theoretical gravitational wave research ⓘ
usefulFor	Petrov classification of spacetimes NERFINISHED ⓘ analysis of radiation fields at null infinity ⓘ studying algebraically special solutions ⓘ
uses	null tetrads ⓘ spin coefficients ⓘ
usesConcept	Ricci scalars ⓘ Weyl scalars NERFINISHED ⓘ null tetrad basis ⓘ spin coefficients equations ⓘ spinor calculus ⓘ
usesObject	complex null tetrad ⓘ directional derivatives along null vectors ⓘ

Referenced by (4)

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

Ezra Newman → notableWork → Newman–Penrose formalism ⓘ

Ezra Newman → notableConcept → Newman–Penrose formalism ⓘ

this entity surface form: Newman–Penrose spin coefficients

Infeld–van der Waerden formalism → relatedTo → Newman–Penrose formalism ⓘ

Weyl tensor → isUsedToDefine → Newman–Penrose formalism ⓘ

this entity surface form: Newman–Penrose Weyl scalars