Jackiw–Teitelboim gravity

Jackiw–Teitelboim gravity, also known as the R = T model,^[1] 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^[2][3] with the CGHS model or Liouville gravity. The action is given by

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

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.

Varying with respect to Φ yields ${\displaystyle R=\Lambda }$ on shell, which means the metric is either Anti-de Sitter space or De Sitter space, depending upon the sign of Λ.

See also

Dilaton § The dilaton in quantum gravity