Jackiw–Teitelboim gravity

Jackiw–Teitelboim gravity, also known as the R = T model, or simply JT gravity (after physicists 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 with the CGHS model or Liouville gravity. The action is given by

$S=\frac{1}{\kappa }\int d^{2}x\sqrt{-g}\mathrm{\Phi }(R-\mathrm{\Lambda })$

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. 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 $R=\mathrm{\Lambda }$ on shell, which means the metric is either Anti-de Sitter space or De Sitter space depending upon the sign of Λ.

References

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