T – Duality and Spinning Solutions in 2 + 1 Gravity Chiang - Mei

Starting with the 2 + 1 Einstein–Maxwell–Dilaton system with a cosmological constant and assuming two commuting Killing symmetries we derive the corresponding 1 + 0 σ–model. It is shown that, for general values of the coupling parameters, the T –duality group is SL(2, R), which coincides with the group of linear coordinate transformations along the Killing orbits. This duality, along with a suitable parameter choice, is applied to obtain some new spinning solutions in the alternative gravity theories: Einstein–Maxwell, Brans–Dicke and Einstein–Maxwell–Dilaton.