Plebański action

E811623

The Plebański action is a reformulation of general relativity that expresses gravity as a constrained BF theory using self-dual two-forms, playing a key role in modern approaches to quantum gravity.

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Plebański action canonical 1

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Statements (46)

Predicate Object
instanceOf action principle in theoretical physics
formulation of general relativity
aimsAt casting general relativity as a gauge theory
category classical field theory action
describes general relativity in first-order formalism
equivalentTo Einstein field equations on shell
field general relativity
mathematical physics
quantum gravity
formulates gravity as a constrained BF theory
framework first-order formulation of gravity
generalizedBy Holst action
actions with Immirzi parameter
historicalPeriod late 1970s
imposes simplicity constraints on two-forms
influenced constrained BF models of gravity
modern spin foam amplitudes
introduces Lagrange multipliers enforcing simplicity constraints
involves SU(2) or SL(2,C) gauge symmetry
complexified connection
self-dual part of the Lorentz group
language differential forms
namedAfter Jerzy Plebański
reformulates Einstein–Hilbert action
relatedTo Ashtekar variables
BF theory with constraints
MacDowell–Mansouri formulation of gravity
Palatini action
linked to: Palatini formalism

loop quantum gravity
self-dual Palatini action
self-dual formulation of general relativity
spin foam models
signature Euclidean
Lorentzian
spacetimeDimension 4
typeOf BF-type action
usedIn covariant approaches to loop quantum gravity
spin foam quantization of gravity
topological quantum field theory inspired models of gravity
uses BF theory
connection variables
self-dual two-forms
tetrad variables
variationWithRespectTo Lagrange multipliers yields simplicity constraints
connection yields curvature constraints
two-forms yields relation to tetrads

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Referenced by (1)

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

Jerzy Plebański notableWork Plebański action