Physics:Jackiw–Teitelboim gravity
From HandWiki
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
- [math]\displaystyle{ S = \frac{1}{\kappa}\int d^2x\, \sqrt{-g}\, \Phi \left( R - \Lambda \right) }[/math]
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.
References
- ↑ 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. Bibcode: 1990NuPhB.341..134M.
- ↑ 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. Bibcode: 2002PhR...369..327G.
- ↑ Grumiller, Daniel; Meyer, Rene (2006). "Ramifications of Lineland". Turkish Journal of Physics 30 (5): 349–378. Bibcode: 2006TJPh...30..349G. Archived from the original on 22 August 2011. https://web.archive.org/web/20110822060534/http://mistug.tubitak.gov.tr/bdyim/abs.php?dergi=fiz&rak=0604-8.
- ↑ 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. doi:10.1103/PhysRevD.93.084017. Bibcode: 2016PhRvD..93h4017S.
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