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arXiv · hep-th/9810245

T-Duality and Spinning Solutions in 2 + 1 Gravity

Chiang-Mei Chen
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Abstract

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

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Chiang-Mei Chen. 1998-10-30. T-Duality and Spinning Solutions in 2 + 1 Gravity. https://doi.org/10.1016/s0550-3213(99)00052-8

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