Abstract
Using a Kaluza-Klein dimensional reduction, and further imposing a conformal Killing symmetry on the reduced metric generated by the dilaton, we show an Ansatz that yields many of the known stationary axisymmetric solutions to TMG.
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Deser S., Jackiw R., Templeton S.: Ann. Phys. 140, 372 (1982). doi:10.1016/0003-4916(82)90164-6
Deser S., Jackiw R., Templeton S.: Phys. Rev. Lett. 48, 975 (1982). doi:10.1103/PhysRevLett.48.975
Anninos D., Li W., Padi M., Song W., Strominger A.: J. High Energy Phys. 03, 130 (2009). doi:10.1088/1126-6708/2009/03/130
Guica M., Skenderis K., Taylor M., van Rees B.C.: J. High Energy Phys. 02, 056 (2011). doi:10.1007/JHEP02(2011)056
Anninos D., Compere G., de Buyl S., Detournay S., Guica M.: J. High Energy Phys. 1011, 119 (2010). doi:10.1007/JHEP11(2010)119
Chow D.D.K., Pope C.N., Sezgin E.: Class. Quant. Grav. 27, 105002 (2010). doi:10.1088/0264-9381/27/10/105002
Gibbons G.W., Pope C.N., Sezgin E.: Class. Quant. Grav. 25, 205005 (2008). doi:10.1088/0264-9381/25/20/205005
Chow D.D.K., Pope C.N., Sezgin E.: Class. Quant. Grav. 27, 105001 (2010). doi:10.1088/0264-9381/27/10/105001
Ertl S., Grumiller D., Johansson N.: Class. Quant. Grav. 27, 225021 (2010). doi:10.1088/0264-9381/27/22/225021
Guralnik G., Iorio A., Jackiw R., Pi S.Y.: Ann. Phys. 308, 222 (2003). doi:10.1016/S0003-4916(03)00142-8
Grumiller D., Kummer W.: Ann. Phys. 308, 211 (2003). doi:10.1016/S0003-4916(03)00138-6
Cvetic M., Gibbons G.W., Lu H., Pope C.N.: Class. Quant. Grav. 20, 5161 (2003). doi:10.1088/0264-9381/20/23/013
Pons J.M.: J. Phys. Conf. Ser. 68, 012030 (2007). doi:10.1088/1742-6596/68/1/012030
Torre, C.: Symmetric criticality in classical field theory. In: Proceedings of SPIRES Conference C10/09/06.1. arXiv:1011.3429 [math-ph] (to appear)
Clement G.: Class. Quant. Grav. 7, L193 (1990). doi:10.1088/0264-9381/7/9/002
Coley A., Hervik S., Pelavas N.: Class. Quant. Grav. 25, 025008 (2008). doi:10.1088/0264-9381/25/2/025008
Jugeau F., Moutsopoulos G., Ritter P.: Class. Quant. Grav. 28, 035001 (2011). doi:10.1088/0264-9381/28/3/035001
Clement G.: Class. Quant. Grav. 11, L115 (1994). doi:10.1088/0264-9381/11/9/001
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Moutsopoulos, G., Ritter, P. An exact conformal symmetry Ansatz on Kaluza-Klein reduced TMG. Gen Relativ Gravit 43, 3047–3063 (2011). https://doi.org/10.1007/s10714-011-1221-7
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DOI: https://doi.org/10.1007/s10714-011-1221-7