The R = T model, [1] also known as Jackiw–Teitelboim gravity (named after Roman Jackiw and Claudio Teitelboim), is a theory of gravity with dilaton coupling in one spatial and one time dimension. It should not be confused [2] [3] with the CGHS model or Liouville gravity. The action is given by
The metric in this case is more amenable to analytical solutions than the general 3+1D case though a canonical reduction for the latter has recently been obtained. [4] 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.
By varying with respect to Φ, we get on shell, which means the metric is either Anti-de Sitter space or De Sitter space depending upon the sign of Λ.
Dilaton § The dilaton in quantum gravity
The R = T model, [1] also known as Jackiw–Teitelboim gravity (named after Roman Jackiw and Claudio Teitelboim), is a theory of gravity with dilaton coupling in one spatial and one time dimension. It should not be confused [2] [3] with the CGHS model or Liouville gravity. The action is given by
The metric in this case is more amenable to analytical solutions than the general 3+1D case though a canonical reduction for the latter has recently been obtained. [4] 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.
By varying with respect to Φ, we get on shell, which means the metric is either Anti-de Sitter space or De Sitter space depending upon the sign of Λ.
Dilaton § The dilaton in quantum gravity