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.
Referencesedit
^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. Bibcode:1990NuPhB.341..134M. doi:10.1016/0550-3213(90)90265-F.
^Grumiller, Daniel; Kummer, Wolfgang; Vassilevich, Dmitri (October 2002). "Dilaton Gravity in Two Dimensions". Physics Reports. 369 (4): 327–430. arXiv:hep-th/0204253. Bibcode:2002PhR...369..327G. doi:10.1016/S0370-1573(02)00267-3. S2CID 119497628.
^Grumiller, Daniel; Meyer, Rene (2006). . Turkish Journal of Physics. 30 (5): 349–378. arXiv:hep-th/0604049. Bibcode:2006TJPh...30..349G. Archived from the original on 22 August 2011.
^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:1605.03431. Bibcode:2016PhRvD..93h4017S. doi:10.1103/PhysRevD.93.084017.
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jackiw, teitelboim, gravity, model, also, known, named, after, roman, jackiw, claudio, teitelboim, theory, gravity, with, dilaton, coupling, spatial, time, dimension, should, confused, with, cghs, model, liouville, gravity, action, given, displaystyle, frac, k. 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 S 1 k d 2 x g F R L 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 References edit 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 Bibcode 1990NuPhB 341 134M doi 10 1016 0550 3213 90 90265 F Grumiller Daniel Kummer Wolfgang Vassilevich Dmitri October 2002 Dilaton Gravity in Two Dimensions Physics Reports 369 4 327 430 arXiv hep th 0204253 Bibcode 2002PhR 369 327G doi 10 1016 S0370 1573 02 00267 3 S2CID 119497628 Grumiller Daniel Meyer Rene 2006 Ramifications of Lineland Turkish Journal of Physics 30 5 349 378 arXiv hep th 0604049 Bibcode 2006TJPh 30 349G Archived from the original on 22 August 2011 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 03431 Bibcode 2016PhRvD 93h4017S doi 10 1103 PhysRevD 93 084017 nbsp This relativity related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Jackiw Teitelboim gravity amp oldid 1020488162, wikipedia, wiki, book, books, library,