Infeld–van der Waerden formalism

E232967

The Infeld–van der Waerden formalism is a mathematical framework in general relativity that reformulates the theory using spinor calculus to describe gravitational and electromagnetic fields.

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Statements (46)

Predicate Object
instanceOf framework in general relativity ⓘ
mathematical formalism ⓘ
spinor formalism ⓘ
aimsTo simplify treatment of spinor fields in curved spacetime ⓘ
unify description of gravitational and electromagnetic fields ⓘ
appliesTo Lorentzian geometry ⓘ
surface form: Lorentzian manifolds

curved spacetime ⓘ
assumes local Lorentz invariance ⓘ
metric compatibility ⓘ
basedOn Lorentz group ⓘ
SL(2,C) ⓘ
clarifies geometric meaning of spinor fields ⓘ
relationship between spinors and tensors ⓘ
contrastsWith purely tensorial formulations of general relativity ⓘ
describes electromagnetic fields ⓘ
gravitational fields ⓘ
developedInContextOf Einstein’s theory of gravitation ⓘ
field general relativity ⓘ
historicalPeriod 20th century theoretical physics ⓘ
introducedBy Bartel Leendert van der Waerden ⓘ
Leopold Infeld ⓘ
language complex two-component spinors ⓘ
provides spinor representation of Maxwell equations in curved spacetime ⓘ
spinor representation of the Ricci tensor ⓘ
spinor representation of the Weyl tensor ⓘ
reformulates tensor formulation of general relativity ⓘ
relatedTo Newman–Penrose formalism ⓘ
Penrose spinor calculus ⓘ
relates spinor quantities ⓘ
tensor quantities ⓘ
represents connection in spinor form ⓘ
curvature in spinor form ⓘ
electromagnetic field tensor in spinor form ⓘ
metric tensor in spinor form ⓘ
usedIn classical field theory ⓘ
relativistic quantum theory of spin-1/2 fields ⓘ
uses spinor calculus ⓘ
usesConcept Infeld–van der Waerden formalism self-linksurface differs ⓘ
surface form: Infeld–van der Waerden symbols

Pauli matrices ⓘ
covariant differentiation of spinors ⓘ
metric spinors ⓘ
soldering forms ⓘ
spin connection ⓘ
spinor indices ⓘ
tetrads ⓘ
two-component spinors ⓘ

How these facts were elicited

Referenced by (2)

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

Leopold Infeld → knownFor → Infeld–van der Waerden formalism ⓘ
Infeld–van der Waerden formalism → usesConcept → Infeld–van der Waerden formalism self-linksurface differs ⓘ
this entity surface form: Infeld–van der Waerden symbols