Samiksha Jaiswal (Editor)

Jackiw–Teitelboim gravity

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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

S = 1 κ d 2 x g [ R Φ 1 2 g μ ν μ Φ ν Φ Λ + κ L mat ]

where Φ is the dilaton, μ denotes the covariant derivative and the equation of motion is

R Λ = κ T

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 (see quantum gravity and references for details).

References

Jackiw–Teitelboim gravity Wikipedia