T-Duality and Spinning Solutions in 2 + 1 Gravity

Abstract

Starting with the 2+1 Einstein--Maxwell--Dilaton system with a cosmological constant and assuming two commuting Killing symmetries we derive the corresponding $1+0\sigma$--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.

16 pages, LaTex with elsart.sty, no figures

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