Weyl rescaling

GPTKB entity

Statements (21)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs gptkb:Weyl_transformation
conformal rescaling
gptkbp:appliesTo metric tensor
gptkbp:category gptkb:transformation
gptkbp:defines A local rescaling of the metric tensor by a smooth, non-vanishing function.
gptkbp:effectOnAction affects the form of the Einstein-Hilbert action
gptkbp:effectOnRicciScalar changes the Ricci scalar in a specific way depending on the conformal factor
gptkbp:field gptkb:theoretical_physics
differential geometry
gptkbp:form g'_{μν}(x) = Ω^2(x) g_{μν}(x)
https://www.w3.org/2000/01/rdf-schema#label Weyl rescaling
gptkbp:namedAfter gptkb:Hermann_Weyl
gptkbp:property preserves angles but not lengths
gptkbp:relatedTo gptkb:conformal_symmetry
scale invariance
gptkbp:usedIn gptkb:general_relativity
gptkb:quantum_field_theory
gptkb:string_theory
gptkbp:bfsParent gptkb:Weyl_transformation
gptkbp:bfsLayer 5