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.
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 NERFINISHED ⓘ |
| 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 NERFINISHED ⓘ |
| reformulates | Einstein–Hilbert action NERFINISHED ⓘ |
| relatedTo |
Ashtekar variables
NERFINISHED
ⓘ
BF theory with constraints ⓘ MacDowell–Mansouri formulation of gravity NERFINISHED ⓘ Palatini action NERFINISHED ⓘ loop quantum gravity NERFINISHED ⓘ self-dual Palatini action NERFINISHED ⓘ 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
NERFINISHED
ⓘ
connection variables ⓘ self-dual two-forms ⓘ tetrad variables ⓘ |
| variationWithRespectTo |
Lagrange multipliers yields simplicity constraints
ⓘ
connection yields curvature constraints ⓘ two-forms yields relation to tetrads ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.