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New Charged Dilaton Solutions in 2+1 Dimensions and Solutions with Cylindrical Symmetry in 3+1 Dimensions

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Abstract

We report a new family of solutions to Einstein-Maxwell-dilaton gravity in 2+1 dimensions and Einstein-Maxwell gravity with cylindrical symmetry in 3+1 dimensions. A set of static charged solutions in 2+1 dimensions are obtained by a compactification of charged solutions in 3+1 dimensions with cylindrical symmetry. These solutions contain naked singularities for certain values of the parameters considered. New rotating charged solutions in 2+1 dimensions and 3+1 dimensions are generated treating the static charged solutions as seed metrics and performing SL(2;R) transformations.

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  1. Department of Physics & Geology, Northern Kentucky University, Highland Heights, KY, 41099, USA

    Sharmanthie Fernando

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  1. Sharmanthie Fernando
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Correspondence to Sharmanthie Fernando.

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Fernando, S. New Charged Dilaton Solutions in 2+1 Dimensions and Solutions with Cylindrical Symmetry in 3+1 Dimensions. Int J Theor Phys 51, 418–427 (2012). https://doi.org/10.1007/s10773-011-0918-4

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  • DOI: https://doi.org/10.1007/s10773-011-0918-4

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