Plebański formulation of general relativity
E811624
constrained BF theory
formulation of general relativity
gauge-theoretic formulation
theory of gravity
The Plebański formulation of general relativity is a reformulation of Einstein’s theory that expresses gravity as a constrained BF gauge theory using self-dual two-forms, playing a key role in modern approaches to quantum gravity.
Statements (44)
| Predicate | Object |
|---|---|
| instanceOf |
constrained BF theory
ⓘ
formulation of general relativity ⓘ gauge-theoretic formulation ⓘ theory of gravity ⓘ |
| aimsAt |
facilitating quantization of gravity
ⓘ
recasting general relativity as a gauge theory ⓘ |
| appliesTo | four-dimensional spacetime ⓘ |
| basedOn | Einstein’s theory of general relativity NERFINISHED ⓘ |
| contrastsWith |
metric formulation of general relativity
ⓘ
purely tetrad formulation of general relativity ⓘ |
| coreConcept |
BF action with constraints
ⓘ
self-dual variables ⓘ simplicity constraints ⓘ |
| describes |
gravity as a constrained BF theory
ⓘ
gravity as a gauge theory ⓘ |
| field |
general relativity
NERFINISHED
ⓘ
quantum gravity ⓘ theoretical physics ⓘ |
| hasFeature |
equivalence to Einstein’s equations on shell
ⓘ
polynomial action in basic fields ⓘ topological sector and gravitational sector ⓘ |
| hasFormulationType | first-order formulation ⓘ |
| historicalPeriod | late 20th century theoretical physics ⓘ |
| inspired |
modern BF-based quantum gravity models
ⓘ
spin foam amplitudes based on constrained BF theory ⓘ |
| involves |
Lagrange multipliers enforcing constraints
ⓘ
complexified Lorentz group NERFINISHED ⓘ self-dual part of the spin connection ⓘ two-form B fields ⓘ |
| languageOfFormulation |
differential forms
ⓘ
gauge connections ⓘ |
| namedAfter | Jerzy Plebański NERFINISHED ⓘ |
| relatesTo |
Ashtekar variables
NERFINISHED
ⓘ
loop quantum gravity NERFINISHED ⓘ self-dual formulation of gravity ⓘ spin foam models ⓘ topological field theory ⓘ |
| usedIn |
covariant approaches to loop quantum gravity
ⓘ
discrete quantum gravity models ⓘ spin foam quantization ⓘ |
| uses |
BF theory
NERFINISHED
ⓘ
connection variables ⓘ self-dual two-forms ⓘ two-form fields ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.