ADM formalism
E518520
The ADM formalism is a Hamiltonian formulation of general relativity that splits spacetime into space and time, providing a canonical framework widely used in quantum gravity and numerical relativity.
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
Hamiltonian formulation of general relativity
ⓘ
canonical formulation ⓘ theoretical physics formalism ⓘ |
| appliedIn |
canonical quantum gravity
ⓘ
gravitational wave modeling ⓘ initial value formulation of general relativity ⓘ loop quantum gravity ⓘ numerical simulations of spacetime ⓘ |
| developedIn | 1960s ⓘ |
| dimensionSplit | 3+1 ⓘ |
| enables |
ADM mass definition
ⓘ
ADM momentum definition ⓘ definition of gravitational energy in asymptotically flat spacetimes ⓘ |
| field |
general relativity
ⓘ
numerical relativity ⓘ quantum gravity ⓘ |
| goal | cast general relativity into Hamiltonian form ⓘ |
| hasAbbreviation | ADM NERFINISHED ⓘ |
| language | mathematical physics ⓘ |
| namedAfter |
Charles W. Misner
NERFINISHED
ⓘ
Richard Arnowitt NERFINISHED ⓘ Stanley Deser NERFINISHED ⓘ |
| provides |
Hamiltonian for general relativity
ⓘ
canonical formulation of Einstein field equations ⓘ phase space description of gravity ⓘ |
| relatedTo |
Arnowitt–Deser–Misner decomposition
NERFINISHED
ⓘ
Dirac constraint quantization NERFINISHED ⓘ Einstein–Hilbert action NERFINISHED ⓘ canonical quantization ⓘ covariant formulation of general relativity ⓘ |
| treatsSpaceAs | sequence of 3-dimensional hypersurfaces ⓘ |
| treatsTimeAs | evolution parameter ⓘ |
| usedFor |
constructing quantum theories of gravity
ⓘ
formulating boundary terms in general relativity ⓘ studying canonical structure of gravity ⓘ |
| usesConcept |
3+1 decomposition of spacetime
ⓘ
Hamiltonian constraint ⓘ Hamiltonian mechanics NERFINISHED ⓘ canonical variables ⓘ constraint equations ⓘ extrinsic curvature ⓘ foliation of spacetime ⓘ lapse function ⓘ momentum constraint ⓘ shift vector ⓘ spacelike hypersurfaces ⓘ spatial metric ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.