Charged rotating BTZ black holes in noncommutative space and torsion gravity
Abstract: In this talk, I consider charged rotating BTZ black holes in noncommutative space, where noncommutativity is introduced via Seiberg-Witten map for gauge fields in the Chern-Simons theory formulation of 2 + 1 dimensional gravity. To the first order in the noncommutative parameter, the deformation appears to involve nontrivial torsion, and the equation of motion is discussed by use of Einstein-Cartan theory. Though the deformation is indeed nontrivial, the deformed and the original
Einstein equations are found to be related by a rather simple coordinate change. This talk is based on arXiv: 1701.01005, in collaboration with Koichi Nagasaki and Wen-Yu Wen at CYCU.