Jackiw–Teitelboim gravity
Encyclopedia
The R=T model, also known as Jackiw
–Teitelboim gravity is a theory of gravity with dilaton
coupling in one spatial and one time dimension. It should not be confused with the CGHS model
or Liouville gravity. The action is given by
where Φ is the dilaton, and the equation of motion is
The metric in this case is more amenable to analytical solutions than the general 3+1D case. For example, in 1+1D, the metric for the case of two mutually interacting bodies can be solved exactly in terms of the Lambert W function, even with an additional electromagnetic field (see quantum gravity and references for details) .
Roman Jackiw
Roman W. Jackiw is a theoretical physicist and Dirac Medallist. Born in Poland, Jackiw received his PhD from Cornell University in 1966 under Hans Bethe and Kenneth Wilson...
–Teitelboim gravity is a theory of gravity with dilaton
Dilaton
In particle physics, a dilaton is a hypothetical particle. It also appears in Kaluza-Klein theory's compactifications of extra dimensions when the volume of the compactified dimensions vary....
coupling in one spatial and one time dimension. It should not be confused with the CGHS model
CGHS model
The Callan-Giddings-Harvey-Strominger model or CGHS in short is a toy model of general relativity in 1 spatial and 1 time dimension. General relativity is a highly nonlinear model, and as such, its 3+1D version is usually too complicated to analyze in detail. In 3+1D and higher, propagating...
or Liouville gravity. The action is given by
where Φ is the dilaton, and the equation of motion is
The metric in this case is more amenable to analytical solutions than the general 3+1D case. For example, in 1+1D, the metric for the case of two mutually interacting bodies can be solved exactly in terms of the Lambert W function, even with an additional electromagnetic field (see quantum gravity and references for details) .
See also
- CGHS modelCGHS modelThe Callan-Giddings-Harvey-Strominger model or CGHS in short is a toy model of general relativity in 1 spatial and 1 time dimension. General relativity is a highly nonlinear model, and as such, its 3+1D version is usually too complicated to analyze in detail. In 3+1D and higher, propagating...
- Liouville gravity
- quantum gravity