Jackiw–Teitelboim gravity

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The R=T model,[1] also known as JackiwTeitelboim gravity 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

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

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 (see quantum gravity and references for details).

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References[edit]

  1. ^ Mann, Robert; Shiekh, A.; Tarasov, L. (3 Sep 1990). "Classical and quantum properties of two-dimensional black holes". Nuclear Physics. B. 341 (1): 134–154. doi:10.1016/0550-3213(90)90265-F. Archived from the original on Dec 1989. 
  2. ^ Grumiller, Daniel; Kummer, Wolfgang; Vassilevich, Dmitri (October 2002). "Dilaton Gravity in Two Dimensions". Physics Reports. 369 (4): 327–430. doi:10.1016/S0370-1573(02)00267-3. Archived from the original on 4 Jan 2008. 
  3. ^ Grumiller, Daniel; Meyer, Rene (2006). "Ramifications of Lineland". Turkish Journal of Physics. 30 (5): 349–378. Archived from the original on 1 June 2006. 
  4. ^ Scott, T.C.; Zhang, Xiangdong; Mann, Robert; Fee, G.J. (2016). "Canonical reduction for dilatonic gravity in 3 + 1 dimensions". Physical Review D. 93 (8): 084017. arXiv:1605.03431Freely accessible. doi:10.1103/PhysRevD.93.084017.